Finite-time singularities in f(R, T) gravity and the effect of conformal anomaly

Abstract

We investigate $f(R,T)$ gravity models ($R$ is the curvature scalar and $T$ is the trace of the stress-energy tensor of ordinary matter) that are able to reproduce the four known types of future finite-time singularities. We choose a suitable expression for the Hubble parameter in order to realise the cosmic acceleration and we introduce two parameters, $\alpha$ and $H_s$, which characterise each type of singularity. We address conformal anomaly and we observe that it cannot remove the sudden singularity or the type IV one, but, for some values of $\alpha$, the big rip and the type III singularity may be avoided. We also find that, even without taking into account conformal anomaly, the big rip and the type III singularity may be removed thanks to the presence of the $T$ contribution of the $f(R,T)$ theory.

18 pages; Accepted for publication in Canadian Journal of Physics (CJP)

References in corpus (30)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• f(R,T) gravity
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Dark torsion as the cosmic speed-up
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Dark Energy and Dark Gravity
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Reconstructing $f(R,T)$ gravity from holographic dark energy
• Cylindrical solutions in metric f(R) gravity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• Attractor Solutions in f(T) Cosmology
• Black hole solutions in F(R) gravity with conformal anomaly
• Dark energy, inflation and dark matter from modified F(R) gravity
• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Noether symmetry of F(T) cosmology with quintessence and phantom scalar fields
• Resolution of dark matter problem in f(T) gravity
• Notes on dark energy interacting with dark matter and unparticle in loop quantum cosmology
• Cylindrical Solutions in Modified f(T) Gravity
• Phase space analysis of interacting dark energy in f(T) cosmology
• Statefinder Analysis of f(T) Cosmology
• Sudden singularities survive massive quantum particle production
• Does the Big Rip survive quantization?
• Spacing of the entropy spectrum for KS Black hole in Horava-Lifshitz gravity
• Holographic superconductors in a model of non-relativistic gravity

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• Cosmological Tests of $f(R,G,T)$ Dark Energy Model in FRW Universe
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• Reconstructing $f(T)$ modified gravity from ECHDE and ECNADE models
• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory
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• Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe
• (2+1) dimensional cosmological models in f(R; T) gravity with $\Lambda$(R; T)
• Thermodynamics in Little Rip cosmology in the framework of a type of f(R,T) gravity