Modified Friedmann equations from DSR-GUP

Abstract

Considering the modified entropy-area relation from DSR-GUP (Doubly special relativity-Generalized uncertainity principle), we obtain the modified Friedmann equations from the first law of thermodynamics at apparent horizon. Due to the importance of GUP at Planck scale, we investigate the Friedmann equations and show the maximum energy density \r{ho} at Planck scale. Since GUP implies a minimal length, we find a minimum apparent horizon which has a potential to remove the Big Bang singularity. Furthermore, we analyse the effects of DSR-GUP on deceleration parameter q for the equation of state p = ω\r{ho} and the flat case. Finally, we check the validity of the generalized second law (GSL) of thermodynamics and show that it is valid all eras of the Universe for any spatial curvature.

arXiv comment12 pages, final version matching the one accepted for publication in Europhysics Letters. The Authors dedicate this paper to people who died due to Covid-19 and those who fight it

References in corpus (47)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Thermodynamics of Spacetime: The Einstein Equation of State
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• A Generalized Uncertainty Principle in Quantum Gravity
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• The Generalized Uncertainty Principle and Black Hole Remnants
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• 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
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Interferometric detection of gravitational waves: the definitive test for General Relativity
• Dark energy and the generalized second law
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Generalized Uncertainty Principle, Extra-dimensions and Holography
• Gravitational tests of the Generalized Uncertainty Principle
• Universality of Quantum Entropy for Extreme Black Holes
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Minimal length, maximal momentum and Hilbert space representation of quantum mechanics
• Modified Friedmann Equations from Tsallis Entropy
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Thermodynamics of apparent horizon and modified Friedman equations
• Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
• Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Black hole thermodynamics with generalized uncertainty principle
• Generalized second law of thermodynamics in Gauss-Bonnet braneworld
• Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics
• Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
• Quantum Gravity and Recovery of Information in Black Hole Evaporation
• Gravitational Uncertainty and Black Hole Remnants
• Generalized uncertainty principle and black hole thermodynamics
• No Existence of Black Holes at LHC Due to Minimal Length in Quantum Gravity
• Black Hole Remnants in the Early Universe
• Inflation Induced Planck-Size Black Hole Remnants As Dark Matter
• New generalized uncertainty principle from the doubly special relativity
• Minimal Length, Friedmann Equations and Maximum Density
• Non-singular and Cyclic Universe from the Modified GUP
• The Minimum and Maximum Temperature of Black Body Radiation
• Quantum Gravity Effects On Charged Micro Black Holes Thermodynamics

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• Cosmology with variable $G$ and nonlinear electrodynamics
• Particle Dynamics and Quasi-Periodic Oscillations in the GUP-Modified Schwarzschild Spacetime: Constraint Using Micro-Quasars Data
• Investigating bounds on the extended uncertainty principle metric through astrophysical tests
• Phase transitions, critical behavior and microstructure of the FRW universe in the framework of higher order GUP
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
• Exponential correction to Friedmann equations
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