Modified Gauss-Bonnet theory as gravitational alternative for dark energy

Abstract

We suggest the modified gravity where some arbitrary function of Gauss-Bonnet (GB) term is added to Einstein action as gravitational dark energy. It is shown that such theory may pass solar system tests. It is demonstrated that modified GB gravity may describe the most interesting features of late-time cosmology: the transition from deceleration to acceleration, crossing the phantom divide, current acceleration with effective (cosmological constant, quintessence or phantom) equation of state of the universe.

LaTeX file, 5 pages, version to appear in PLB

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• Covariant action for bouncing cosmologies in modified Gauss-Bonnet gravity
• $k$-Inflation-corrected Einstein-Gauss-Bonnet Gravity with Massless Primordial Gravitons
• Geometric Perfect Fluids from Extended Gravity
• Warm Inflation in $f(R,T)$ gravity
• Cosmological stability in $f(\varphi ,\mathcal{G})$ gravity
• Further Refining Swampland dS Conjecture in Mimetic f(G) Gravity
• A Comprehensive Study of Massive Compact Star Admitting Conformal Motion Under Bardeen Geometry
• Friedmann equations in the Codazzi parametrization of Cotton and extended theories of gravity and the Dark Sector
• Cosmological Tests of $f(R,G,T)$ Dark Energy Model in FRW Universe
• Note on the Gauss-Bonnet braneworld scenario
• Interacting Quintessence in a New Scalar-Torsion Gravity
• Dynamical Complexity in Teleparallel Gauss-Bonnet Gravity
• Geometric and topological corrections to Schwarzschild black hole
• Constraints on Cubic and $f(P)$ Gravity from the Cosmic Chronometers, BAO & CMB datasets : Use of Machine Learning Algorithms
• Fermion localization in higher curvature and scalar-tensor theories of gravity
• Cosmic Acceleration and Anisotropic models with Magnetic field
• Existence of Static Wormholes in $f(\mathcal{G},T)$ Gravity
• Transient acceleration in $f(T)$ gravity
• Charged Compact Stars in Extended $f(\mathcal{R},\mathcal{G},\mathcal{T})$ Gravity
• Constructions of $f(R,G,\mathcal{T})$ Gravity from Some Expansions of the Universe
• Supernova, baryon acoustic oscillations, and CMB surface distance constraints on f(G) higher order gravity models
• On existence of a possible Lorentz invariant modified gravity in Weitzenböck spacetime
• Analytic solutions in Einstein-aether scalar field cosmology
• Bounds from ISW-galaxy cross-correlations on generalized covariant Galileon models
• Generalized second law of thermodynamics in QCD ghost f(G) gravity
• General aspects of Gauss-Bonnet models without potential in dimension four
• Natural scaling for dark energy
• Parametrizing the transition to the phantom epoch with Supernovae Ia and Standard Rulers
• Conformal Killing cosmology -- Geometry, dark sector, growth of structures, and big rip
• Complete density perturbations in the Jordan-Fierz-Brans-Dicke theory
• An Emergent Universe supported by chiral cosmological fields in Einstein--Gauss--Bonnet gravity
• Exploring the Cosmological Model in $f(R,T^{\varphi })$ Gravity with Observational Constraints
• Gravitational Origin of Phantom Dark Energy and Late Cosmic Acceleration
• The little rip in classical and quantum $f(R)$ cosmology
• Solar System Constraints on f(G) Dark Energy
• The Gauss-Bonnet topological scalar in the Geometric Trinity of Gravity
• Anisotropic Universe in $f(\mathcal{G},\text{T})$ Gravity
• Emergent Cosmos in Einstein-Cartan Theory
• Cosmic acceleration and phantom crossing in $f(T)$-gravity
• History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term
• Inverse problem - reconstruction of dark energy models
• How a conformally flat (GR)4 impacts Gauss-Bonnet gravity?
• TASI Lectures on Cosmic Acceleration
• Finite-time singularities in modified $\mathcal{F}(R,G)$-gravity and singularity avoidance
• Quintessential and phantom power-law solutions in scalar tensor model of dark energy
• On the Stability of Einstein Universe in f(R,T,R_{μν}T^{μν}) Gravity
• Towards a possible solution for the coincidence problem: f(G) gravity as background
• N-body simulations, halo mass functions, and halo density profile in $f(T)$ gravity
• Particle creation in the framework of f(G) gravity
• Late-time Cosmology of scalar field assisted $f(\mathcal{G})$ gravity
• Reconstructing $f(T)$ modified gravity from ECHDE and ECNADE models
• Classical and quantum $f(R)$ cosmology: The big rip, the little rip and the little sibling of the big rip
• Compact relativistic geometries in $f(R,G)$ gravity
• Gravitational waves in Modified Gauss-Bonnet Gravity
• Thermodynamics in a Modified Gravity Involving Higher-Order Torsion Derivative Terms
• Cosmology in time asymmetric extensions of general relativity
• Non-Singular Bouncing Model in Energy Momentum Squared Gravity
• Bianchi Type Cosmological Models in $f(T)$ Tele-parallel Gravity
• Remarks on generalized scalar-tensor models of dark energy
• Phantom-Like Behavior in Modified Teleparallel Gravity
• Dynamical stability of an interacting quintessence with varying-mass dark matter particles in Lyra manifold
• Bouncing cosmological models in a functional form of F(R) gravity
• Galaxy-galaxy lensing data: $f(T)$ gravity challenges General Relativity
• Reconstructions of $f(\mathcal{P})$ and $f(\mathcal{Q})$ gravity models from $(m,n)$-type Barrow Holographic Dark Energy: Analysis and Observational Constraints
• Constraining Exponential f(Q) Gravity with Cosmic Chronometers and Supernovae: A Data-Driven Analysis
• Energy Conditions in Gauss-Bonnet Gravity
• Exact Solutions in Modified Gravity Models
• Aether-quasi-dilaton massive gravity
• Thermodynamic aspects of entropic cosmology with viscosity
• Phantom-Like Behavior of a DGP-Inspired Scalar-Gauss-Bonnet Gravity
• Phase space analysis for a scalar-tensor model with kinetic and Gauss-Bonnet couplings
• Study of Some Parameters of Modified Chaplygin Gas in Galileon Gravity Theory from Observational Perspective
• An extension of the cosmological standard model with a bounded Hubble expansion rate
• Early and Late-time Cosmic Acceleration in Non-minimal Yang-Mills-$f(G)$ Gravity
• Finslerian extension of an anisotropic strange star in the domain of modified gravity
• Reconstruction of $f(R)$, $f(T)$ and $f(\mathcal{G})$ models inspired by variable deceleration parameter
• Generalized Teleparallel Theory
• Extended Bose-Einstein condensate dark matter in viscous Gauss-Bonnet gravity
• Scalar-Gauss-Bonnet model, the coincidence problem and the gravitational wave speed
• On the Hyperbolicity and Stability of $3+1$ Formulations of Metric $f(R)$ Gravity
• Functional Determinants in Higher Derivative Lagrangian Theories
• Modified gravity from Weyl connection and the $f(R,\mathcal{A})$ extension
• Collapsing dynamics of relativistic fluid in modified gravity admitting a conformal Killing vector
• Barrow Holographic Dark Energy in Brane World Cosmology
• The viable f(G) gravity models via reconstruction from the observations
• Aspects of Some New Versions of Pilgrim Dark Energy in DGP Braneworld
• Observational Hubble parameter data constraints on the interactive model of $f(T)$ gravity with particle creation
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• Isotropic universe with almost scale-invariant fourth-order gravity
• Stability of neutron stars in Horndeski theories with Gauss-Bonnet couplings
• Cosmological dynamics of fourth order gravity
• Black holes with constant topological Euler density
• Effective Actions for Loop Quantum Cosmology in Fourth-Order Gravity
• A minimal set of invariants as a systematic approach to higher order gravity models: Physical and Cosmological Constraints
• Gravastar model in Randall-Sundrum braneworld
• Dark energy from topology change induced by microscopic Gauss-Bonnet wormholes
• Dynamics of a higher-dimension Einstein-Scalar-Gauss-Bonnet cosmology
• Multi-kink braneworld configurations in the scalar-tensor representation of $f(R,T)$ gravity
• Backreaction mechanism in multifluid and extended cosmologies
• De Sitter cosmology from Gauss-Bonnet dark energy with quantum effects
• Symmetric Teleparallel Gauss-Bonnet Gravity and its Extensions
• Hybrid star within $f(\mathcal{G})$ gravity
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Late cosmic acceleration in a vector--Gauss-Bonnet gravity model
• Parameterized Deceleration in $f(Q,C)$ Gravity: A Logarithmic Approach
• Stabilization of internal space in noncommutative multidimensional cosmology
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Constraining some $r^{-n}$ extra-potentials in modified gravity models with LAGEOS-type laser-ranged geodetic satellites
• Accelerating cosmology in modified gravity: from convenient $F(R)$ or string-inspired theory to bimetric $F(R)$ gravity
• Self-gravitating systems in Extended Gravity
• Scalar Mode Quadrupole Radiation from Astronomical Sources in $F(R)$ Modified Gravity
• Radion tunneling in modified theories of gravity
• Bianchi $VI{I}_A$ solutions of quadratic gravity
• Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe
• General analysis of Noether symmetries in Horndeski gravity
• Lovelock-Brans-Dicke gravity
• Cosmological Model with Cosmic transit behaviour in Brans-Dicke Theory
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Electromagnetic effect on anisotropic scalar field collapse in higher curvature gravity
• A gracious exit from the matter-dominated phase in a quantum cosmic phantom model
• Cosmological Study in Myrzakulov $F(R,T)$ Quasi-dilaton Massive Gravity
• Study of Complexity Factor and Stability of Dynamical Systems in $f(G)$ Gravity
• Dark Matter Is The New BBN
• Inflation and cosmological evolution with $F(R,G)$ gravity theory
• Complexity of Charged Dynamical Spherical System in Modified Gravity
• de Sitter field equations from quadratic curvature gravity: A group theoretical approach
• The speed of gravitational waves and power-law solutions in a scalar-tensor model
• Generalized second law of thermodynamics on the apparent horizon in modified Gauss-Bonnet gravity
• Generalized Horndeski-Like Einstein Gauss-Bonnet Inflation with Massless Primordial Gravitons
• Numerical Analysis of Galactic Rotation Curves
• Cosmic Evolution with Early and Late Acceleration Inspired by Dual Nature of the Ricci Scalar Curvature
• Observational constraints on tachyonic chameleon dark energy model
• Propagating Gravitational Waves in Teleparallel Gauss-Bonnet Gravity
• Multipole analysis for linearized $f(R)$ gravity with irreducible Cartesian tensors
• Cosmological evolutions of $F(R)$ nonlinear massive gravity
• Perturbation in an interacting dark universe
• Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane
• Impulsive gravitational waves of massless particles in extended theories of gravity
• Late time dynamics of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Multipole analysis for linearized $f(R,\mathcal{G})$ gravity with irreducible Cartesian tensors
• Reconstructions of Einstein-Aether Gravity from Barrow Agegraphic and New Barrow Agegraphic Dark Energy models: Examinations and Observational Limits
• Probing Dark Energy Properties in $fQ,C)$ Gravity with FLRW Cosmological Models
• Exact solutions in a scalar-tensor model of dark energy
• Cosmological Evolution of Viscous Dark Energy in f(Q,C) Gravity: Two-Fluid Approach
• Cosmological dynamics of interacting dark energy and dark matter in $f(Q)$ gravity
• Deformations of Lifshitz holography with the Gauss-Bonnet term in ($n+1$) dimensions
• Dynamical systems analysis of a cosmological model with interacting Umami Chaplygin fluid in adiabatic particle creation mechanism: Some bouncing features
• Phantom Mimicry on the Normal Branch of a DGP-inspired Braneworld Scenario with Curvature Effect
• Energy Conditions in Extended $f(R,G,T)$ Gravity
• Holographic connection of f(G) gravity through Barrow and a generalized version of holographic dark fluid
• An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field
• Non-Singular Bouncing cosmology from Phantom Scalar-Gauss-Bonnet Coupling: Reconstruction with Observational Insights
• The Inflationary Quartic Hilltop Model in a Modified Gravity and Its Comparison with the Observations
• Power Law and Logarithmic Ricci Dark Energy Models in Horava-Lifshitz Cosmology
• Cosmology in a model with Lagrange multiplier, and Gauss-Bonnet and non-minimal kinetic couplings
• Is Dark Energy Changing? Probing the Universe's Expansion with present and future astronomical probes
• The Impact of $f(\mathcal{G},T)$ Gravity on the Evolution of Cavity in the Cluster of Stars
• Study of Some Cosmological Parameters for Interacting New Holographic Dark Energy Model in f(T) Gravity
• Dynamical analysis for a scalar-tensor model with Gauss-Bonnet and non-minimal couplings
• Constraints on cosmological parameters and CMB first acoustic peak in conformal Killing gravity
• Domain Wall and Holographic Dark Energy in $f(Q)$ Theory of Gravity
• Modified gravity from an entropy functional
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields
• Modified Einstein-Gauss-Bonnet gravity: Riemann-Cartan and Pseudo-Riemannian cases
• Non-minimal scalar-tensor theories
• Anisotropic cosmology using observational datasets: exploring via machine learning approaches
• Observational Restrictions and Slow-Roll D-brane Inflation in the Special $F(\varphi ,T)$ Gravity
• $F(\varphi )T$-Gravity and Inflationary Natural Model
• A short review on Quintom dark energy theory
• Neutrino Interactions with perturbed Rastall Gravity: A Novel Approach to Reducing the Hubble Tension
• Red-shift parametrizations of dark energy and observational constraint on their parameters: Galileon gravity as background
• Matter Creation Cosmologies and Accelerated Expansion
• Effects of Smoothing Functions in Cosmological Counts-in-Cells Analysis
• Cosmological Study of Autonomous Dynamical Systems in Modified Tele-Parallel Gravity
• Cosmological Reconstructions in Einstein--Cartan--Myrzakulov Gravity with Torsion and Non-Metricity in the Weitzenböck Geometrical Sector
• Wald Entropy in Extended Modified Myrzakulov Gravity Theories: \(f(R, T, Q, R_{μν}T^{μν}, R_{μν}Q^{μν}, \dots)\)
• A Matter with an effective EoS interacting with a tachynic field in an accelerating Universe
• k-Gauss-Bonnet inflation
• $n+1$ formalism of $f($Lovelock$)$ gravity
• Testing Gauss-Bonnet Gravity with DESI BAO Data
• Galactic dynamics in the presence of scalaron: A perspective from $\mathbf{f}(\mathbf{R})$ gravity
• DNA Mutations via Chern-Simons Currents
• Absence of curvature singularities in symmetric perfect fluid spacetimes in Einstein-Gauss-Bonnet Gravity
• Higher order mimetic gravity after GW170817
• Causal cosmology with braneworld gravity including Gauss Bonnet coupling
• $\Lambda$CDM without cosmological constant
• The Cosmological Impact of Brane-Chern-Simons Massive Gravity
• Scalar perturbation and density contrast evolution in $f(Q,C)$ gravity
• Friedmann's Universe Controlled by Gauss-Bonnet Modified Gravity
• Dark Energy Behavior from Static Equation of State in Non-Minimally Coupled Gravity with Scalar Deformation
• Observational constraints on Luciano-Saridakis entropic cosmology
• String-inspired Gauss-Bonnet Gravity Inflation and ACT
• Perusing Buchbinder--Lyakhovich canonical formalism for Higher-Order Theories of Gravity
• Accelerating Kaluza-Klein Universe in Modified Theory of Gravitation
• Universality of entropy principle for a general diffeomorphism-covariant purely gravitational theory
• Cosmological and astrophysical applications of modified theories of gravity
• Accelerating cosmologies in Lovelock gravity with dilaton
• Gauss-Bonnet Gravity in $D=4$ Without Gauss-Bonnet Coupling to Matter - Cosmological Implications
• $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background
• On the number of terms in the Lovelock products
• Some Classes of Gravitational Shock Waves from Higher Order Theories of Gravity
• Constraints on High-Order Gravitational Theories from Weak Cosmic Censorship
• Perturbations In Some Dark Energy Models
• Applications of Cosmological Perturbation Theory in the Late Universe
• Conflict between some higher-order curvature invariant terms
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas
• Constraints on Energy Conditions in $f(R,L_m)$ Gravity
• Correspondence between particle creation and dark components interaction in the context of $f(\mathcal{G})$ gravity
• Reconstructing ACT-compatible and GW170817-compatible Einstein-Gauss-Bonnet Inflation from the Observational Indices
• Late-Time Cosmic Acceleration in Ricci-Gauss-Bonnet Gravity via Gradient Descent Optimization
• Non-singular Bouncing Cosmology in $f(R,G,T)$--Quintom model
• Intermediate evolution using SNIa, and BAO
• Bouncing Cosmologies in modified gravity with space time torsion
• Cosmology in the mimetic higher-curvature $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity