Bouncing universe in a heat bath
arXiv:2105.05116 · doi:10.1142/S0217751X21502420
Abstract
We develop a thermal description for photon modes within the context of bouncing universe. Within this study, we start with a Lorentz-breaking dispersion relation which accounts for modified Friedmann equations with a bounce solution. We calculate the spectral radiance, the entropy, the Helmholtz free energy, the heat capacity, and the mean energy. Nevertheless, the latter two ones turn out to contribute only in a trivial manner. Furthermore, one intriguing aspect gives rise to: for some configurations of , , and , the thermodynamical behavior of the system seems to indicate instability. However, despite of showing this particularity, the solutions of the thermodynamic functions in general turn out to agree with the literature, e.g., the second law of thermodynamics is maintained. More so, all the results are derived \textit{analytically} and three different regimes of temperature of the universe are also considered, i.e., the inflationary era, the electroweak epoch and the cosmic microwave background.
arXiv comment19 pages, 9 figures
References in corpus (40)
- Thermodynamics of Spacetime: The Einstein Equation of State
- Data Tables for Lorentz and CPT Violation
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Quantum Nature of the Big Bang: Improved dynamics
- Quantum Nature of the Big Bang
- Testable scenario for Relativity with minimum-length
- First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Gravity's Rainbow
- Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
- Non-equilibrium Thermodynamics of Spacetime
- Thermodynamics in f(R,T) Theory of Gravity
- Thermodynamic Behavior of Field Equations for f(R) Gravity
- Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
- Corrected Entropy-Area Relation and Modified Friedmann Equations
- Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
- Severe constraints on Loop-Quantum-Gravity energy-momentum dispersion relation from black-hole area-entropy law
- An analysis of systematic effects in finite size scaling studies using the gradient flow
- Thermodynamics of modified black holes from gravity's rainbow
- Modified dispersion relations and black hole physics
- Quantum nature of cosmological bounces
- Rainbow universe
- First law of thermodynamics and Friedmann-like equations in braneworld cosmology
- Horizon entropy and higher curvature equations of state
- Modified dispersion relations and (A)dS Schwarzschild Black holes
- Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy
- Thermodynamic properties in higher-derivative electrodynamics
- Higher-derivative Lorentz-breaking dispersion relations: a thermal description
- Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
- Lorentz-violating scenarios in a thermal reservoir
- Statistical Mechanics and Lorentz Violation
- How does geometry affect quantum gases?
- Lorentz-violating dimension-five operator contribution to the black body radiation
- Relativistic Thermodynamics with an Invariant Energy Scale
- Fermions on a torus knot
- Free energy of Lorentz-violating QED at high temperature
- Bouncing universe from a modified dispersion relation
- The thermodynamics and phase transition of a rainbow black hole
- Bouncing universe with modified dispersion relation
- The quantum effect on Friedmann equation in FRW universe
Cited by in corpus (7)
- Higher-derivative Lorentz-breaking dispersion relations: a thermal description
- How does geometry affect quantum gases?
- Particles in Loop Quantum Gravity formalism: a thermodynamical description
- Thermodynamics of massless particles in curved spacetime
- Thermodynamics of a quantum ring modified by Lorentz violation
- Fermions on a torus knot
- Quantum gases on a torus