Energy-Momentum Squared Gravity

Abstract

A new covariant generalization of Einstein's general relativity is developed which allows the existence of a term proportional to $T_{\alpha \beta }{T}^{\alpha \beta }$ in the action functional of the theory ($T_{\alpha \beta }$ is the energy-momentum tensor). Consequently the relevant field equations are different from general relativity only in the presence of matter sources. In the case of a charged black hole, we find exact solutions for the field equations. Applying this theory to a homogeneous and isotropic space-time, we find that there is a maximum energy density ${\rho }_{\text{max}}$, and correspondingly a minimum length $a_{\text{min}}$, at early universe. This means that there is a bounce at early times and this theory avoids the existence of an early time singularity. Moreover we show that this theory possesses a true sequence of cosmological eras. Also, we argue that although in the context of the standard cosmological model the cosmological constant $\Lambda$ does not play any important role in the early times and becomes important only after the matter dominated era, in this theory the "repulsive" nature of the cosmological constant plays a crucial role at early times for resolving the singularity.

References in corpus (20)

• Extended Theories of Gravity
• f(R,T) gravity
• The Cosmological Constant
• Coupled Quintessence
• Exponential potentials and cosmological scaling solutions
• Quantum Nature of the Big Bang: Improved dynamics
• Are f(R) dark energy models cosmologically viable ?
• Action functionals for relativistic perfect fluids
• Eddington's theory of gravity and its progeny
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Bouncing Braneworlds
• f(R,T) Cosmological Models in Phase Space
• Phase-Space analysis of Teleparallel Dark Energy
• Generalized energy conditions in Extended Theories of Gravity
• Compact stars in Eddington inspired gravity
• Energy conditions in modified gravity
• Modified gravity with R-matter couplings and (non-)geodesic motion
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Exact cosmological solutions from Hojman conservation quantities
• Cosmological solutions of time varying speed of light theories

Cited by in corpus (89)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Cosmological Models in Energy-Momentum-Squared Gravity
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Relaxing cosmological tensions with a sign switching cosmological constant
• Compact stars in Energy-Momentum Squared Gravity
• Generalizing the coupling between geometry and matter: $f(R,L_m,T)$ gravity
• Cosmic acceleration in dust only Universe via energy-momentum powered gravity
• Bouncing cosmologies with dark matter and dark energy
• $f(\mathcal{G},T_{\alpha \beta }{T}^{\alpha \beta })$ Theory and Complex Cosmological Structure
• Dynamical system analysis of generalized energy-momentum-squared gravity
• The Effective Field Theory of nonsingular cosmology: II
• Constraint on energy-momentum squared gravity from neutron stars and its cosmological implications
• Screening $\Lambda$ in a new modified gravity model
• Quasi-static evolution of axially and reflection symmetric large-scale configuration
• Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms
• Color-flavor locked quark stars in energy-momentum squared gravity
• Viability of bouncing cosmology in energy-momentum-squared gravity
• Cosmological implications of scale-independent energy-momentum squared gravity: Pseudo nonminimal interactions in dark matter and relativistic relics
• Eikonal black hole ringings in generalized energy-momentum squared gravity
• Screening anisotropy via energy-momentum squared gravity: $\Lambda$CDM model with hidden anisotropy
• Generalized Energy-Momentum-Squared Gravity in the Palatini Formalism
• Low redshift constraints on energy-momentum-powered gravity models
• Jeans analysis in energy-momentum-squared gravity
• Thermodynamics of the apparent horizon in the generalized energy-momentum-squared cosmology
• Temporally Varying Universal Gravitational "Constant" and Speed of Light in Energy Momentum Squared Gravity
• Lessons from black hole quasinormal modes in modified gravity
• Noether Symmetry Approach in Energy-Momentum Squared Gravity
• Emergent Universe from Energy-Momentum Squared Gravity
• Constraints on Energy Momentum Squared Gravity from cosmic chronometers and Supernovae Type Ia data
• Thermodynamics and Perturbative Analysis of Some Newly Developed $\mathcal{F}(R,L_m,T)$ Theories Under the Scenario of Conserved Energy-momentum Tensor
• Non-exotic traversable wormholes in $f\left(R,T_{ab}{T}^{ab}\right)$ gravity
• Slow-roll inflation in $f(R,T)$ gravity with a $RT$ mixing term
• Cyclic cosmology in modified gravity
• Analysis of Cosmic Evolution admitting Garcia-Salcedo Ghost and Generalized Ghost Dark Energy Models
• Constraining Energy-Momentum-Squared Gravity by binary pulsar observations
• The Mass-Radius relation for Quark Stars in Energy-Momentum Squared Gravity
• Fully conservative $f(R,T)$ gravity and Solar System constraints
• Gravitationally induced matter creation in scalar-tensor $f(R,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Cosmological models in scale-independent energy-momentum squared gravity
• Noether Symmetries and Some Exact Solutions in $f(R,T^2)$ Theory
• Cosmological implications of Rastall-$f(R)$ theory
• Compact Objects admitting Finch-Skea Symmetry in $f(\mathcal{R},T^2)$ Gravity
• Energy-Momentum Squared Gravity: A Brief Overview
• Relativistic structure of charged quark stars in energy-momentum squared gravity
• Bouncing cosmologies via modified gravity in the ADM formalism: Application to Loop Quantum Cosmology
• The phase space analysis of modified gravity (MOG)
• Shadow behavior of an EMSG charged black hole
• Dynamical analysis of logarithmic energy-momentum squared gravity
• The matter-ekpyrotic bounce scenario in Loop Quantum Cosmology
• A Survey of Strong Cosmic Censorship Conjecture Beyond Einstein's Gravity
• Dynamic properties of cyclic cosmologies
• Evolution of Spherical Overdensities in Energy-Momentum-Squared Gravity
• Creation of wormholes during the cosmological bounce
• Local fragmentation of thin disks in Eddington-inspired gravity
• Modified Teleparallel Gravity induced by quantum fluctuations
• Quadratic energy-momentum squared gravity: constraints from big bang nucleosynthesis
• Inflationary Cosmology in a non-minimal $f(R,T)$ gravity theory using a $RT$ mixing term
• Weak field and slow motion limits in energy-momentum powered gravity
• Non-Singular Bouncing Model in Energy Momentum Squared Gravity
• Impact of Charge on Gravastars in $f(\mathfrak{R},{\mathcal{T}}^2)$ Gravity
• Non-minimal Energy-momentum squared gravity
• Relativistic binary systems in scale-independent energy-momentum squared gravity
• Complexity Factor for Static Cylindrical System in Energy-momentum Squared Gravity
• Energy-momentum squared symmetric Teleparallel gravity: $f(Q,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Cosmology in theories with derivative matter coupling
• Observational constraints on nonlinear matter extensions of general relativity: Separable trace power models
• Gravitational Collapse in Energy-momentum squared gravity: Nature of singularities
• Cosmic acceleration via derivative matter couplings
• Constraining the $f$-mode oscillations frequency in Neutron Stars through Universal Relations in the realm of Energy-Momentum Squared Gravity
• Big Bang Nucleosynthesis constraints on the Energy-Momentum Squared Gravity: The ${\mathbb{T}}^2$ model
• Baryon asymmetry from higher-order matter contributions in gravity
• Gödel-type universes in energy-momentum-squared gravity
• Axionic extension of the Proca action
• Spacetime Curvature as a Probe of Exotic Core Phases in Neutron Stars within Modified Gravity
• Cosmological perturbations in the energy-momentum squared gravity theory: constraints from gravitational wave standard sirens and redshift space distortions
• Cosmological bounce and the cosmological constant problem
• A Cosmological Holographic Reconstruction of f(Q) Theory
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Matter perturbations in Einstein dark energy model
• Cosmologies in $f(R,{\mathcal{L}}_m)$ theory with non-minimal coupling between geometry and matter
• The Universe according to DESI results
• An ostentatious model of cosmological scalar-tensor theory
• Density perturbations in nonminimally coupled gravity: symptoms of Lagrangian density ambiguity
• Gravitational baryogenesis beyond the spectator approximation
• Cosmology in energy-momentum squared symmetric teleparallel gravity
• Gravity from the Determinant of the Energy-Momentum: Astrophysical Implications
• Light bending and gravitational lensing in energy-momentum-squared gravity
• From Special Relativity to embedded generators in Cartan subalgebras of rank-4 spin algebras
• Cosmological perturbations in Energy-Momentum Squared Gravity