Cosmological sudden singularities in $f(R,T)$ gravity

Abstract

In this work, we study the possibility of finite-time future cosmological singularities appearing in $f(R,T)$ gravity, where $R$ is the Ricci scalar and $T$ is the trace of the stress-energy tensor. We present the theory in both the geometrical and the dynamically equivalent scalar-tensor representation and obtain the respective equations of motion. In a background Friedmann-Lemaître-Robertson-Walker (FLRW) universe with an arbitrary curvature and for a generic $C^{\infty }$ function $f(R,T)$, we prove that the conservation of the stress-energy tensor prevents the appearance of sudden singularities in the cosmological context at any order in the time-derivatives of the scale factor. However, if this assumption is dropped, the theory allows for sudden singularities to appear at the level of the third time-derivative of the scale factor $a(t)$, which are compensated by divergences in either the first time-derivatives of the energy density $\rho (t)$ or the isotropic pressure $p(t)$. For these cases, we introduce a cosmological model featuring a sudden singularity that is consistent with the current measurements for the cosmological parameters, namely, the Hubble constant, deceleration parameter, and age of the universe, and provide predictions for the still unmeasured jerk and snap parameters. Finally, we analyse the constraints on a particular model of the function $f(R,T)$ that guarantees that the system evolves in a direction favorable to the energy conditions at the divergence time.

arXiv comment14 pages, 4 figures; v2: Matches published version in EPJC

References in corpus (49)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• Extended Theories of Gravity
• f(R,T) gravity
• Phantom Energy and Cosmic Doomsday
• Curvature Quintessence
• Properties of singularities in (phantom) dark energy universe
• Extra force in $f(R)$ modified theories of gravity
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• f(R,L_m) gravity
• Sudden Future Singularities
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Covariant conservation of energy momentum in modified gravities
• Quantum escape of sudden future singularity
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Nonminimal coupling of perfect fluids to curvature
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• Generalized curvature-matter couplings in modified gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• You need not be afraid of phantom energy
• K-Essential Phantom Energy: Doomsday around the corner?
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• More General Sudden Singularities
• Generalized energy conditions in Extended Theories of Gravity
• Energy conditions in modified gravity
• Hybrid metric-Palatini gravity
• Worse than a big rip?
• Gravitational induced particle production through a nonminimal curvature-matter coupling
• Bouncing cosmology with future singularity from modified gravity
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Extended $f(R,L_m)$ gravity with generalized scalar field and kinetic term dependences
• Hybrid modified gravity unifying local tests, galactic dynamics and late-time cosmic acceleration
• Cosmological solutions in generalized hybrid metric-Palatini gravity
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Unveiling the Dynamics of the Universe
• Cosmology in scalar-tensor $f(R,T)$ gravity
• Cosmological phase space of generalized hybrid metric-Palatini theories of gravity
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• Cosmographic analysis of redshift drift
• Gravitationally Induced Particle Production through a Nonminimal Torsion-Matter Coupling
• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Finite time future singularities in the interacting dark sector
• Interacting realization of cosmological singularities with variable vacuum energy