Selected topics in scalar-tensor theories and beyond

Abstract

Scalar fields have played an important role in the development of the fundamental theories of physics as well as in other branches of physics such as gravitation and cosmology. For a long time these escaped detection until 2012 year when the Higgs boson was observed for the first time. Since then alternatives to the general theory of relativity like the Brans-Dicke theory, scalar-tensor theories of gravity and their higher derivative generalizations -- collectively known as Horndeski theories -- have acquired renewed interest. In the present review we discuss on several selected topics regarding these theories, mainly from the theoretical perspective but with due mention of the observational aspect. Among the topics covered in this review we pay special attention to the following: 1) the asymptotic dynamics of cosmological models based in the Brans-Dicke, scalar-tensor and Horndeski theories, 2) inflationary models, extended quintessence and the Galileons, with emphasis in causality and stability issues, 3) the chameleon and Vainshtein screening mechanisms that may allow the elusive scalar field to evade the tight observational constraints implied by the solar system experiments, 4) the conformal frames conundrum with a brief discussion on the disformal transformations and 5) the role of Weyl symmetry and scale invariance in the gravitation theories. The review is aimed at specialists as well as at non-specialists in the subject, including postgraduate students.

181 pages, 5 figures, Invited review published by the International Journal of Modern Physics D. This version matches the one published by the Journal

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• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
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• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
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• Gauss-Bonnet dark energy
• Healthy theories beyond Horndeski
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Universality Class in Conformal Inflation
• Conditions for the cosmological viability of f(R) dark energy models
• Cosmological Tests of Modified Gravity
• Superconformal Inflationary $\alpha$-Attractors
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• Second-Order Cosmological Perturbations from Inflation
• 1/R gravity and Scalar-Tensor Gravity
• Strong Interactions and Stability in the DGP Model
• Holographic dark energy and cosmic coincidence
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Can dark energy evolve to the Phantom?
• Interacting Quintessence
• Primordial Non-Gaussianities from Inflation Models
• The Cosmology of Generalized Modified Gravity Models
• Higgs inflation: consistency and generalisations
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
• Purely kinetic k-essence as unified dark matter
• Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
• Higgs boson mass and new physics
• Are f(R) dark energy models cosmologically viable ?
• Interacting quintessence solution to the coincidence problem
• Avoiding Dark Energy with 1/R Modifications of Gravity
• The Large Scale Structure of f(R) Gravity
• Reconciling dark energy models with f(R) theories
• Detecting Dark Energy in Orbit -- the Cosmological Chameleon
• G-inflation: inflation driven by the Galileon field
• Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity
• Classical and Quantum Consistency of the DGP Model
• Inflationary Cosmology
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Can the clustered dark matter and the smooth dark energy arise from the same scalar field ?
• On the Naturalness of Higgs Inflation
• Exploring gravitational theories beyond Horndeski
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• General second order scalar-tensor theory, self tuning, and the Fab Four
• k-Essence, superluminal propagation, causality and emergent geometry
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Modified gravity with $\ln R$ terms and cosmic acceleration
• Standard Model Higgs boson mass from inflation: two loop analysis
• Running Inflation in the Standard Model
• Inflation scenario via the Standard Model Higgs boson and LHC
• Primordial non-gaussianities in single field inflation
• Non-Gaussianities in Single Field Inflation and their Optimal Limits from the WMAP 5-year Data
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Light scalar at LHC: the Higgs or the dilaton?
• An introduction to the Vainshtein mechanism
• Uncorrelated Estimates of Dark Energy Evolution
• f(R) Gravity and scalar-tensor theory
• Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Crossing the Phantom Divide: Theoretical Implications and Observational Status
• A Measurement of the Cosmic Microwave Background Damping Tail from the 2500-square-degree SPT-SZ survey
• Solar System constraints to general f(R) gravity
• Cosmological Constraints from Measurements of Type Ia Supernovae discovered during the first 1.5 years of the Pan-STARRS1 Survey
• Environmental Dependence of Masses and Coupling Constants
• Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
• Metric-affine f(R) theories of gravity
• Probing Newton's Constant on Vast Scales: DGP Gravity, Cosmic Acceleration and Large Scale Structure
• f(R) Gravity and Chameleon Theories
• On Inflation with Non-minimal Coupling
• Galileon Cosmology
• Dynamics of Linear Perturbations in f(R) Gravity
• Agravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Crossing the Phantom Divide: Dark Energy Internal Degrees of Freedom
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Exact cosmological solutions with nonminimal derivative coupling
• Constraints on Cosmology from the Cosmic Microwave Background Power Spectrum of the 2500 ${\mathrm{deg}}^2$ SPT-SZ Survey
• Black holes with non-minimal derivative coupling
• Galileon inflation
• Tracking K-essence
• Scalar-tensor theories and modified gravity in the wake of GW170817
• Palatini form of 1/R gravity
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Disformal invariance of second order tensor-scalar theories: framing the Horndeski action
• Scale invariance, unimodular gravity and dark energy
• Coupled dark energy: Towards a general description of the dynamics
• Matter instability in modified gravity
• Higgs-Dilaton Cosmology: From the Early to the Late Universe
• Quintessence and phantom cosmology with non-minimal derivative coupling
• The (pseudo)issue of the conformal frame revisited
• Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations
• Structure formation in the DGP cosmological model
• Asymptotically locally AdS and flat black holes in Horndeski theory
• Non-minimal Inflationary Attractors
• Quintom models with an equation of state crossing -1
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• Quintessence, super-quintessence and observable quantities in Brans-Dicke and non-minimally coupled theories
• Generalized energy conditions in Extended Theories of Gravity
• Self-Accelerating Universe in Galileon Cosmology
• A new view of k-essence
• Speed of Gravitational Waves and the Fate of Scalar-Tensor Gravity
• Inflationary paradigm after Planck 2013
• Hamiltonian analysis of higher derivative scalar-tensor theories
• Planck 2015 results. XXI. The integrated Sachs-Wolfe effect
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Distinguishing Boson Stars from Black Holes and Neutron Stars from Tidal Interactions in Inspiraling Binary Systems
• Vainshtein screening in a cosmological background in the most general second-order scalar-tensor theory
• Local Conformal Symmetry in Physics and Cosmology
• Multi-field Conformal Cosmological Attractors
• Large Field Inflation and Double $\alpha$-Attractors
• Crossing the Phantom Divide Barrier with Scalar Tensor Theories
• Effective Description of Higher-Order Scalar-Tensor Theories
• Gravitational Wave Signatures of Highly Compact Boson Star Binaries
• Tension between the power spectrum of density perturbations measured on large and small scales
• Higgs G-inflation
• Imaging a boson star at the Galactic center
• A formal introduction to Horndeski and Galileon theories and their generalizations
• Astrophysical signatures of boson stars: quasinormal modes and inspiral resonances
• The Paths of Quintessence
• Helicity Decomposition of Ghost-free Massive Gravity
• Gravitational Waves from Quasicircular Extreme Mass-Ratio Inspirals as Probes of Scalar-Tensor Theories
• Gravitational Particle Production in Oscillating Background and Its Cosmological Implications
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• Effective theory for the Vainshtein mechanism from the Horndeski action
• Compatibility of the chameleon-field model with fifth-force experiments, cosmology, and PVLAS and CAST results
• Gravitational Stability of Boson Stars
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• Isolated critical point from Lovelock gravity
• Horndeski: beyond, or not beyond?
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• Solutions in the scalar-tensor theory with nonminimal derivative coupling
• Inflation and primordial non-Gaussianities of "generalized Galileons"
• Boson Stars from Self-Interacting Dark Matter
• Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity
• Galileons from Lovelock actions
• Quintom cosmologies with arbitrary potentials
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Primordial non-Gaussianity from the DBI Galileons
• Slowly rotating neutron stars in the nonminimal derivative coupling sector of Horndeski gravity
• Black Holes in Pure Lovelock Gravities
• The Observational Future of Cosmological Scalar-Tensor Theories
• Physical non-equivalence of the Jordan and Einstein frames
• Brans-Dicke Scalar Field as a Chameleon
• Compact binary systems in scalar-tensor gravity. II. Tensor gravitational waves to second post-Newtonian order
• Higgs-Dilaton Cosmology: an effective field theory approach
• Notes on wormhole existence in scalar-tensor and F(R) gravity
• Evolution of cosmological perturbations in non-singular string cosmologies
• Primordial non-Gaussianities in general modified gravitational models of inflation
• Invariant quantities in the scalar-tensor theories of gravitation
• Scalar self-interactions loosen constraints from fifth force searches
• Vainshtein Screening in Scalar-Tensor Theories before and after GW170817: Constraints on Theories beyond Horndeski
• Lensing and dynamics of ultra-compact bosonic stars
• Dynamics of Quintessence Models of Dark Energy with Exponential Coupling to the Dark Matter
• Cosmic expansion and growth histories in Galileon scalar-tensor models of dark energy
• Probing Strong-Field Scalar-Tensor Gravity with Gravitational Wave Asteroseismology
• Evolution of linear cosmological perturbations and its observational implications in Galileon-type modified gravity
• On the final fate of compact boson star mergers
• Dynamical analysis of generalized Galileon cosmology
• Testing Scalar-Tensor Gravity Using Space Gravitational-Wave Interferometers
• Antigravity and the big crunch/big bang transition
• Vainshtein Mechanism in Binary Pulsars
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Lovelock Gravity at the Crossroads of Palatini and Metric Formulations
• On big rip singularities
• The Paths of Gravity in Galileon Cosmology
• Causality and the speed of sound
• Crossing the phantom divide without phantom matter
• Hybrid modified gravity unifying local tests, galactic dynamics and late-time cosmic acceleration
• Interaction between bosonic dark matter and stars
• Cosmological dynamics of Scalar--Tensor Gravity
• Self-accelerating universe in scalar-tensor theories after GW170817
• Primordial non-Gaussianities of gravitational waves in the most general single-field inflation model
• Thick Brane Worlds Arising From Pure Geometry
• General class of vacuum Brans-Dicke wormholes
• General Relativity and Weyl Geometry
• Wormholes, the weak energy condition, and scalar-tensor gravity
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• Chronology Protection in Galileon Models and Massive Gravity
• Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials
• Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames
• The two faces of mimetic Horndeski gravity: disformal transformations and Lagrange multiplier
• Theory of gravitation theories: a no-progress report
• Cosmological Perturbations in the New Higgs Inflation
• When scalar field is kinetically coupled to the Einstein tensor
• Weyl Current, Scale-Invariant Inflation and Planck Scale Generation
• Birkhoff's theorem in Lovelock gravity
• Causality and Hyperbolicity of Lovelock Theories
• Stability and superluminality of spherical DBI galileon solutions
• Structure formation constraints on the Jordan-Brans-Dicke theory
• Testing Chameleon Theories with Light Propagating through a Magnetic Field
• Cosmic microwave background with Brans-Dicke gravity II: constraints with the WMAP and SDSS data
• K-Chameleon and the Coincidence Problem
• Highly compact neutron stars in scalar-tensor theories of gravity: Spontaneous scalarization versus gravitational collapse
• A frame independent classification of single field inflationary models
• Realistic cosmological scenario with non-minimal kinetic coupling
• Constraints on anomalous Higgs boson couplings using production and decay information in the four-lepton final state
• Chameleon Field Theories
• WMAP constraints on scalar-tensor cosmology and the variation of the gravitational constant
• Cyclic Cosmology, Conformal Symmetry and the Metastability of the Higgs
• The integrated Sachs-Wolfe imprints of cosmic superstructures: a problem for ΛCDM
• Constraints on scalar-tensor theory of gravity by the recent observational results on gravitational waves
• Fake Conformal Symmetry in Conformal Cosmological Models
• The past and future dynamics of quintom dark energy models
• Some remarks on the genesis of scalar-tensor theories
• On the geometrical interpretation of scale-invariant models of inflation
• No fifth force in a scale invariant universe
• Evidence for cosmological particle creation?
• From Brans-Dicke gravity to a geometrical scalar-tensor theory
• Quantum equivalence of $f(R)$ gravity and scalar-tensor theories
• Conformal equivalence in classical gravity: the example of "veiled" General Relativity
• The Limits of Extended Quintessence
• The conformal transformation's controversy: what are we missing?
• Non-minimal Kinetic coupling to gravity and accelerated expansion
• Dynamics of Scalar Field Dark Matter With a Cosh-like Potential
• N-body Simulations for Extended Quintessence Models
• Gravity and Scalar Fields
• Higgs Inflation at NNLO after the Boson Discovery
• The Brans-Dicke-Rastall theory
• Measuring the Integrated Sachs-Wolfe Effect
• Inflation and reheating in theories with spontaneous scale invariance symmetry breaking
• Phase space geometry in scalar-tensor cosmology
• Inflation in a scale invariant universe
• Using correlations between CMB lensing and large-scale structure to measure primordial non-Gaussianity
• Sailing through the big crunch-big bang transition
• Extended quintessence with an exponential coupling
• The effective field theory of inflation/dark energy and the Horndeski theory
• Composite vacuum Brans-Dicke wormholes
• A question mark on the equivalence of Einstein and Jordan frames
• The High Redshift Integrated Sachs-Wolfe Effect
• Scalar-torsion theories of gravity I: general formalism and conformal transformations
• Extended Quintessence with non-minimally coupled phantom scalar field
• Vector boson star solutions with a quartic order self-interaction
• Measuring deviations from a cosmological constant: a field-space parameterization
• An alternative to the LCDM model: the case of scale invariance
• Extended Quintessence and its Late-time Domination
• Precision Predictions for the Primordial Power Spectra from f(R) Models of Inflation
• On the dynamics of a quadratic scalar field potential
• Revisiting chameleon gravity - thin-shells and no-shells with appropriate boundary conditions
• Dynamics of a scalar field in Robertson-Walker spacetimes
• Retarded Green's Function Of A Vainshtein System And Galileon Waves
• Dynamical complexity of the Brans-Dicke cosmology
• Super-acceleration in non-minimal derivative coupling model
• Numerical simulations of stellar collapse in scalar-tensor theories of gravity
• Superluminality, Black Holes and Effective Field Theory
• Non-minimally coupled scalar field cosmology on the phase plane
• Dark Matter and Leptogenesis Linked by Classical Scale Invariance
• Classically Scale Invariant Inflation, Supermassive WIMPs, and Adimensional Gravity
• On the maximum mass limit of neutron stars in scalar-tensor gravity
• Complete Set of Homogeneous Isotropic Analytic Solutions in Scalar-Tensor Cosmology with Radiation and Curvature
• Global dynamics and inflationary center manifold and slow-roll approximants
• Crossing the phantom barrier with purely kinetic multiple k-essence
• Unified description of the dynamics of quintessential scalar fields
• Introduction to the application of the dynamical systems theory in the study of the dynamics of cosmological models of dark energy
• Relativistic stars in degenerate higher-order scalar-tensor theories after GW170817
• Dynamical systems in cosmology
• RG flow of Weyl-invariant dilaton gravity
• Fresh look at the scalar-tensor theory of gravity in Jordan and Einstein frames from undiscussed standpoints
• Evolving Planck Mass in Classically Scale-Invariant Theories
• Brans-Dicke theory: Jordan vs Einstein Frame
• Searching for a dipole modulation in the large-scale structure of the Universe
• Inflation and reheating in scale-invariant scalar-tensor gravity
• Cosmological Bound from the Neutron Star Merger GW170817 in scalar-tensor and $F(R)$ gravity theories
• Convergence of Scalar-Tensor theories toward General Relativity and Primordial Nucleosynthesis
• Excited Boson Stars
• Dynamical effects of the scale invariance of the empty space: The fall of dark matter ?
• Boson Stars with Nontrivial Topology
• The Integrated Sachs-Wolfe Effect in Interacting Dark Energy Models
• Exact models with non-minimal interaction between dark matter and (either phantom or quintessence) dark energy
• Some remarks about non-minimally coupled scalar field models
• Generalised Scale Invariant Theories
• Cosmology with non-minimal derivative couplings: perturbation analysis and observational constraints
• Invariant slow-roll parameters in scalar-tensor theories
• Solar System Constraints on Scalar-Tensor Gravity with Positive Coupling Constant upon Cosmological Evolution of the Scalar Field
• Quantum Equivalence of $f(R)$ Gravity and Scalar-tensor Theories in the Jordan and Einstein Frames
• Brans-Dicke theory and the emergence of ΛCDM model
• Spinning Wormholes in Scalar-Tensor Theory
• On Profiles of Boson Stars with Self-Interactions
• Constraints on extended quintessence from high-redshift Supernovae
• Scalar field mass in generalized gravity
• Compact objects in scalar-tensor theories after GW170817
• The Evolution of Inverse Power Law Quintessence at Low Redshift
• On the Chameleon Brans-Dicke Cosmology
• Boson star at finite temperature
• Modified scattering for the Boson Star Equation
• Study Of Tachyon Dynamics For Broad Classes of Potentials
• Dynamics and cosmological constraints on Brans-Dicke cosmology
• The most general fourth order theory of Gravity at low energy
• Dynamic transition to spontaneous scalarization in boson stars
• Particle Production after Inflation with Non-minimal Derivative Coupling to Gravity
• Induced scalarization in boson stars and scalar gravitational radiation
• Journeys Through Antigravity?
• Asymptotic behavior of a scalar field with an arbitrary potential trapped on a Randall-Sundrum's braneworld: the effect of a negative dark radiation term on a Bianchi I brane
• Constraints on the Early and Late Integrated Sachs-Wolfe effects from Planck 2015 Cosmic Microwave Background Anisotropies angular power spectra
• Conformal Transformations and Weak Field Limit of Scalar-Tensor Gravity
• Extended quintessence, inflation, and stable de Sitter spaces
• Oscillation modes of rapidly rotating neutron stars in scalar-tensor theories of gravity
• New inhomogeneous universes in scalar-tensor and f(R) gravity
• Stochastic background of relic scalar gravitational waves from scalar-tensor gravity
• Non-Gaussian inflationary shapes in $G^3$ theories beyond Horndeski
• Exact solutions of Brans-Dicke wormholes in the presence of matter
• The Post-Newtonian Limit of f(R)-gravity in the Harmonic Gauge
• Revisiting the Brans solutions of scalar-tensor gravity
• Expansion in Higher Harmonics of Boson Stars using a Generalized Ruffini-Bonazzola Approach, Part 1: Bound States
• The universe dominated by oscillating scalar with non-minimal derivative coupling to gravity
• Equivalence of cosmological observables in conformally related scalar tensor theories
• The Phase-space analysis of scalar fields with non-minimally derivative coupling
• On the phantom barrier crossing and the bounds on the speed of sound in non-minimal derivative coupling theories
• A geometrical approach to degenerate scalar-tensor theories
• Space-time singularities in Weyl manifolds
• Cosmology with nonminimal kinetic coupling and a Higgs-like potential
• Intermediate accelerated solutions as generic late-time attractors in a modified Jordan-Brans-Dicke theory
• Cosmological models in Weyl geometrical scalar-tensor theory
• A new extended quintessence
• Self-interacting Scalar Field Trapped in a Randall-Sundrum Braneworld: The Dynamical Systems Perspective
• Self-accelerating Massive Gravity: Superluminality, Cauchy Surfaces and Strong Coupling
• Noether and Abbott-Deser-Tekin conserved quantities in scalar-tensor theory of gravity both in Jordan and Einstein frames
• Unified Models of Inflation and Quintessence
• Large scale structures and the cubic galileon model
• Lovelock's theorem revisited
• Pulse profiles from a pulsar in scalar-tensor gravity
• Cosmological disformal transformations to the Einstein frame and gravitational couplings with matter perturbations
• Boson Stars in a Theory of Complex Scalar Field coupled to Gravity
• Why scalar-tensor equivalent theories are not physically equivalent?
• Weyl geometric gravity and "breaking" of electroweak symmetry
• Some Late-time Asymptotics of General Scalar-Tensor Cosmologies
• Boson Stars in Higher Derivative Gravity
• Self accelerating solutions in a DGP brane with a scalar field trapped on it: the dynamical systems perspective
• Stability of cosmic structures in scalar-tensor theories of gravity
• Exact Scalar-Tensor Cosmological Models
• A study of perturbations in scalar-tensor theory using 1+3 covariant approach
• Cubic Derivative Interactions and Asymptotic Dynamics of the Galileon Vacuum
• Slow-roll Extended Quintessence
• Exact Scaling Solutions in Normal and Brans-Dicke Models of Dark Energy
• Brans--Dicke cosmology does not have the $\Lambda$CDM phase as an universal attractor
• Spinning boson stars and hairy black holes with non-minimal coupling
• Dynamical systems analysis of the cubic galileon beyond the exponential potential and the cosmological analogue of the vDVZ discontinuity
• No-go theorem for static boson stars
• Some New Results on Charged Compact Boson Stars
• Analytical Approximation for Newtonian Boson Stars in Four and Five Dimensions -- A Poor Person's Approach to Rotating Boson Stars
• Non-minimally coupled quintessence DE model with a cubic galileon term --A Dynamical System Analysis
• Duality transformation and conformal equivalent scalar-tensor theories
• The Chameleon Effect in the Jordan Frame of the Brans--Dicke Theory
• Quantum Treatment of the Weyl Vector Meson
• Dynamical analysis for a scalar-tensor model with kinetic and non-minimal couplings
• A precise response function for the magnetic component of Gravitational Waves in Scalar-Tensor Gravity
• Brans-Dicke Galileon and the Variational Principle
• Oscillating scalar fields in extended quintessence
• Perfect fluid solutions of Brans-Dicke and f(R)cosmology
• Late-time acceleration in the coupled Cubic Galileon models
• Conformal transformations and Nordström's scalar theory of gravity
• On the Cauchy Problem for Weyl-Geometric Scalar-Tensor Theories of Gravity
• A Note on de Sitter Embedding of $f(R)$ Theories
• Charged Boson Stars and Black Holes with Non-Minimal Coupling to Gravity
• Sudden Future Singularities in Quintessence and Scalar-Tensor Quintessence Models
• Sub-horizon Perturbation Behavior in Extended Quintessence
• Weyl meson and its implications in collider physics and cosmology
• Notes on the Chameleon Brans-Dicke Gravity
• Weyl frames and canonical transformations in geometrical scalar-tensor theories of gravity
• Dynamical analysis and cosmological viability of varying $G$ and $\Lambda$ cosmology
• Renormalizability and Newtonian potential in scale-invariant gravity
• Weyl invariance with a nontrivial mass scale

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• Covariant formulation of refracted gravity
• Inflationary equilibrium configurations of scalar-tensor theories of gravity
• Stability of Poincaré gauge theory with cubic order invariants
• The Nature of Dark Energy and Constraints on Its Hypothetical Constituents from Force Measurements
• On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories
• Accelerating Tests of General Relativity with Gravitational-Wave Signals using Hybrid Sampling
• Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
• Scalar-Connection Gravity and Spontaneous Scalarization
• Scalar-tensor gravity from thermodynamic and fluid-gravity perspective
• Shadows in conformally related gravity theories
• An issue with the classification of the scalar-tensor theories of gravity
• Anisotropy in constraint 4D Gauss-Bonnet gravity
• Global asymptotic dynamics of the cubic galileon interacting with dark matter
• Addressing the DESI DR2 Phantom-Crossing Anomaly and Enhanced $H_0$ Tension with Reconstructed Scalar-Tensor Gravity
• Quintessence scalar field and cosmological constant: Dynamics of a multi-component dark energy model
• Disformal transformations and the motion of a particle in semi-classical gravity
• On the equivalence between Sáez-Ballester theory and Einstein-scalar field system
• Kantowski-Sachs cosmology in scalar-torsion theory
• Conformal Fisher information metric with torsion
• Classical and Quantum cosmology for two scalar field Brans-Dicke type theory: A Noether Symmetry approach
• Spherical particle orbits around a rotating black hole in massive gravity
• Can an Extra Degree of Freedom in Scalar-Tensor Non-Metricity Gravity Account for the Evolution of the Universe?
• Scalarized neutron stars with a highly relativistic core in scalar-tensor gravity
• Bouncing and collapsing universes dual to late-time cosmological models
• Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan frames
• Is it possible to separate baryonic from dark matter within the $\Lambda$-CDM formalism?
• Revisiting local-scale invariant gravitational theory
• The Smarr formula within the Geroch-Held-Penrose formalism
• Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory
• No scalar hair in nonminimal derivative coupling model for Neumann and Dirichlet reflecting star
• Neutron Stars in Scalar Torsion Theories with Nonminimal Coupling
• Metric Field as Emergence of Hilbert Space
• Revisiting dynamics of interacting quintessence
• Gravitational collapse involving electric charge in the decoupling limit of the dilatonic Gauss--Bonnet gravity