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 $f(R,T)=R+\chi RT$.

arXiv comment17 pages, 24 figures, Accepted version at Physics of the dark Universe

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• $f(Q,T)$ gravity models with observational constraints
• Dark energy models from a parametrization of $H$: A comprehensive analysis and observational constraints
• Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model
• Inflation in $f(R,T)$ Gravity
• The effect of $f(R,T)$ modified gravity on mass and radius of pulsar HerX1
• Neutron stars in $f(R,T)$ gravity with conserved energy-momentum tensor: Hydrostatic equilibrium and asteroseismology
• Accelerating Universe in Hybrid and Logarithmic Teleparallel Gravity
• Moment of inertia of slowly rotating anisotropic neutron stars in $f(R,T)$ gravity
• Late-Time Viscous Cosmology in $f(R,T)$ Gravity
• Non-Local Curvature and Gauss-Bonnet Cosmologies by Noether Symmetries
• Bouncing cosmological models in $f(R,L_m)$ gravity
• Swampland dS conjecture in Mimetic $f(R,T)$ gravity
• Bouncing cosmologies and stability analysis in symmetric teleparallel $f(Q)$ gravity
• Inflation in mimetic $f(R,T)$ gravity
• Interacting Tsallis and Rényi Holographic Dark Energy with Hybrid Expansion Law
• Constraining f(R,T) Gravity From The Dark Energy Density Parameter ${\Omega }_{\Lambda }$
• BBN Constraints on $f(Q,T)$ Gravity
• Redshift Drift in $f(R,T)$ Gravity
• Moment of inertia and compactness of quark stars within the context of $f(R,T,L_m)$ 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
• Non-singular bouncing cosmology in $f(T,\mathcal{T})$ gravity with energy condition violations
• Implementation of cosmological bounce inflation with Nojiri-Odintsov generalized holographic dark fluid
• A Universe from a Lagrangian Fixed Point
• White dwarf cooling in $f(R,T)$ gravity
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