Thermodynamics of the apparent horizon in the generalized energy-momentum-squared cosmology

Abstract

In this note, we explore the thermodynamic properties of the universe in the background of the generalized energy-momentum-squared gravity. We derive the energy density of matter from the non-standard continuity equation and use it in our analysis. We consider two types of models depending on the nature of coupling between curvature and matter and perform thermodynamic analysis on them using the cosmic apparent horizon. The models are kept as generic as possible from the mathematical point of view in order to gain a wide applicability of the work. In this work we have considered power law and exponential form of models. All the thermodynamic parameters are expressed in terms of the cosmic apparent horizon radius and its time derivatives and their time evolution are studied. By using temperature, heat capacity analysis and the evolution trend of Helmholtz free energy the conditions for thermodynamic stability of the models are derived. It is seen that our stability analysis considerably constrain the parameter space of the model.

26 pages, 19 figures

References in corpus (12)

• f(R,T) gravity
• f(R,L_m) gravity
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Energy-Momentum Squared Gravity
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Low redshift constraints on energy-momentum-powered gravity models
• Constraints on Energy Momentum Squared Gravity from cosmic chronometers and Supernovae Type Ia data
• Dynamical analysis of nonminimal coupled theories

Cited by in corpus (13)

• Emergent Universe from Energy-Momentum Squared Gravity
• Non-exotic traversable wormholes in $f\left(R,T_{ab}{T}^{ab}\right)$ gravity
• Cosmological models in scale-independent energy-momentum squared gravity
• Compact Objects admitting Finch-Skea Symmetry in $f(\mathcal{R},T^2)$ Gravity
• Energy-Momentum Squared Gravity: A Brief Overview
• Relativistic structure of charged quark stars in energy-momentum squared gravity
• Shadow behavior of an EMSG charged black hole
• Dynamical analysis of logarithmic energy-momentum squared gravity
• Weak field and slow motion limits in energy-momentum powered gravity
• Relativistic binary systems in scale-independent energy-momentum squared gravity
• Energy-momentum squared symmetric Teleparallel gravity: $f(Q,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Gravitational Collapse in Energy-momentum squared gravity: Nature of singularities
• Cosmological perturbations in the energy-momentum squared gravity theory: constraints from gravitational wave standard sirens and redshift space distortions