Thermodynamics and Perturbative Analysis of Some Newly Developed $\mathcal{F}(R,L_m,T)$ Theories Under the Scenario of Conserved Energy-momentum Tensor

Abstract

The present work is devoted to explore some interesting cosmological features of a newly proposed theory of gravity namely $\mathcal{F}(R,L_m,T)$ theory, where $R$ and $T$ represent the Ricci scalar and trace of energy momentum-tensor, respectively. Firstly, a non-equilibrium thermodynamical description is considered on the apparent horizon of the Friedmann's cosmos. The Friedmann equations are demonstrated to be equivalent to the first law of thermodynamics, i.e., $T_{Ah}d{\epsilon }_h^{\prime }+T_{Ah}{d}_i{\epsilon }_h^{\prime }=-d\hat{E}+\hat{W}dV$, where $d_i{\epsilon }_h^{\prime }$ refers to entropy production term. We also formulate the constraint for validity of generalized second law of thermodynamics and check it for some simple well-known forms of generic function $\mathcal{F}(R,L_m,T)$. Next, we develop the energy bounds for this framework and constraint the free variables by finding the validity regions for NEC and WEC. Further, we reconstruct some interesting cosmological solutions namely power law, $\Lambda$CDM and de Sitter models in this theory. The reconstructed solutions are then examined by checking the validity of GSLT and energy bounds. Lastly, we analyze the stability of all reconstructed solutions by introducing suitable perturbations in the field equations. It is concluded that obtained solutions are stable and cosmologically viable.

arXiv comment24 pages, 13 figures

References in corpus (50)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• f(R) Theories Of Gravity
• f(R) theories
• f(R,T) gravity
• Thermodynamics of Spacetime: The Einstein Equation of State
• Black Hole Entropy is Noether Charge
• Extra force in $f(R)$ modified theories of gravity
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• Can modified gravity explain accelerated cosmic expansion?
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• f(R,L_m) gravity
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Non-equilibrium Thermodynamics of Spacetime
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Cosmological reconstruction of realistic modified F(R) gravities
• Thermodynamics in f(R,T) Theory of Gravity
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Modified gravity with arbitrary coupling between matter and geometry
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Inflation and de Sitter Thermodynamics
• Metric-affine approach to teleparallel gravity
• Friedmann Equations and Thermodynamics of Apparent Horizons
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Energy Conditions and Stability in $f(R)$ theories of gravity with non-minimal coupling to matter
• Energy-Momentum Squared Gravity
• Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling
• Thermodynamics of cosmological horizons in $f(T)$ gravity
• Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon
• Horizon Thermodynamics and Gravitational Field Equations in Horava-Lifshitz Gravity
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Cosmological inviability of $f(R,T)$ gravity
• The generalized second law of thermodynamics in generalized gravity theories
• Cosmology in $f(R,L_m)$ gravity
• Energy Conditions and Stability in generalized $f(R)$ gravity with arbitrary coupling between matter and geometry
• Can higher curvature corrections cure the singularity problem in f(R) gravity?
• Generalizing the coupling between geometry and matter: $f(R,L_m,T)$ gravity
• Horizon thermodynamics in $f(R)$ theory
• Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity
• Neutron stars in $f(\mathtt{R},{\mathtt{L}}_{\mathtt{m}})$ gravity with realistic equations of state: joint-constrains with GW170817, massive pulsars, and the PSR J0030+0451 mass-radius from $NICER$ data
• Solar System Tests in Modified Teleparallel Gravity
• Cosmology in modified $f(R,T)$-gravity
• Observational Constraint in $f(R,T)$ gravity from the cosmic chronometers and some standard distance measurement parameters
• Palatini formulation of the conformally invariant $f\left(R,L_m\right)$ gravity theory
• Screening anisotropy via energy-momentum squared gravity: $\Lambda$CDM model with hidden anisotropy
• General approach to the Lagrangian ambiguity in $f(R,T)$ gravity
• Coupling matter and curvature in Weyl geometry: conformally invariant $f\left(R,L_m\right)$ gravity
• Reconstruction and Stability Analysis of Some Cosmological Bouncing Solutions in $F(\mathcal{R},T)$ Theory
• Slow-roll inflation in $f(R,T)$ gravity with a $RT$ mixing term
• Thermodynamics in $f(R,\mathcal{L})$ theories: Apparent horizon in the FLRW spacetime

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