Comprehensive Analysis of a Non-Singular Bounce in $f(R,T)$ Gravitation

Abstract

The present paper is devoted to the study of bouncing cosmology in $f(R,T)$ modified gravity where we presume $f(R,T)=R+2\lambda T$, with $R$ the Ricci scalar, $T$ the trace of energy momentum tensor and $\lambda$ the model parameter. We present here a novel parametrization of Hubble parameter which is apt in representing a successful bouncing scenario undergoing no singularity. We proceed to present a complete analysis of the proposed bouncing model by studying the evolution of primordial curvature perturbations, energy conditions and stability against linear homogeneous perturbations in flat space-time. We also delineate bouncing cosmology for the proposed model by employing Quintom matter. The present article further communicate for the first time that violation of energy-momentum materialize for both the contracting and expanding universes except for the bouncing epoch with energy flow directed away and into the matter fields for the contracting and expanding universe respectively. We further present a thorough investigation about the feasibility of the proposed bouncing scenario against first and generalized second law of thermodynamics. We found that the proposed bouncing scenario obeys the laws of thermodynamics for the constrained parameter space of $\lambda$. The manuscript conclude after investigating the viability of the proposed bouncing model in non minimal $f(R,T)$ gravity where $f(R,T)=R+\chi RT$.

17 pages, 24 figures, Accepted version at Physics of the dark Universe

References in corpus (19)

• f(R,T) gravity
• Modified teleparallel gravity: inflation without inflaton
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Bouncing Universe with Quintom Matter
• Modelling wormholes in $f(R,T)$ gravity
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Dark Matter From f(R,T) Gravity
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Generalized Second Law of Thermodynamics in Quintom Dominated Universe
• Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Probing for dynamics of dark energy and curvature of universe with latest cosmological observations
• Evolution of Metric Perturbations in Quintom Bounce model
• Construction of Charged Cylindrical Gravastar-like Structures
• Schwarzschild black hole and the generalized second law in phantom-dominated universe
• Propagation of Polar Gravitational Waves in f(R,T) Scenario
• Gravastars in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Temporally Varying Universal Gravitational "Constant" and Speed of Light in Energy Momentum Squared Gravity

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• Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model
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• Moment of inertia of slowly rotating anisotropic neutron stars in $f(R,T)$ gravity
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• Non-Local Curvature and Gauss-Bonnet Cosmologies by Noether Symmetries
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• Swampland dS conjecture in Mimetic $f(R,T)$ gravity
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• Interacting Tsallis and Rényi Holographic Dark Energy with Hybrid Expansion Law
• Inflation in mimetic $f(R,T)$ gravity
• BBN Constraints on $f(Q,T)$ Gravity
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• Redshift Drift in $f(R,T)$ Gravity
• Dark Energy Nature in Logarithmic $f(R,T)$ Cosmology
• Inflation in f(R,T) gravity with Double-Well potential
• Non-Singular Bouncing Model in Energy Momentum Squared Gravity
• Growth of matter fluctuations in $f(R,T)$ Gravity
• Neutron Stars In $f(R,T)$ Theory: Slow Rotation Approximation
• Growth of cosmic perturbations in the modified $f(R,T)$ gravity
• Implementation of cosmological bounce inflation with Nojiri-Odintsov generalized holographic dark fluid
• Non-singular bouncing cosmology in $f(T,\mathcal{T})$ gravity with energy condition violations
• A Universe from a Lagrangian Fixed Point
• White dwarf cooling in $f(R,T)$ gravity
• Exact Analytical Taub-NUT like Solution in f(T) Gravity
• New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity