Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow

Abstract

In this paper, we will study the rainbow deformation of the FRW cosmology in both Einstein gravity and Gauss-Bonnet gravity. We will demonstrate that the singularity in the FRW cosmology can be removed because of the rainbow deformation of the FRW metric. We will obtain the general constraints required for the FRW cosmology to be free from singularities. It will be observed that the inclusion of Gauss-Bonnet gravity can significantly change the constraints required to obtain a nonsingular universes. We will use a rainbow functions motivated from the hard spectra of gamma-ray bursts to deform the FRW cosmology, and it will be explicitly demonstrated that such a deformation removes the singularity in the FRW cosmology.

10 pages, 3 figures. minor corrections included

References in corpus (12)

• Slowly-Rotating Black Holes in Einstein-Dilaton-Gauss-Bonnet Gravity: Quadratic Order in Spin Solutions
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Entropy and temperature of black holes in a gravity's rainbow
• Rainbow universe
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
• Stationary vs. singular points in an accelerating FRW cosmology derived from six-dimensional Einstein-Gauss-Bonnet gravity
• A Proposal for Testing Gravity's Rainbow
• Black Hole Complementarity in Gravity's Rainbow
• Extremal dyonic black holes in D=4 Gauss-Bonnet gravity
• A Note on the Viability of Gauss-Bonnet Cosmology
• Black hole solutions of dimensionally reduced Einstein-Gauss-Bonnet gravity

Cited by in corpus (39)

• Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy Emission, Deflection Angle and Heat Engine
• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• A covariant Lagrangian for stable nonsingular bounce
• Effects of energy dependent spacetime on geometrical thermodynamics and heat engine of black holes: gravity's rainbow
• Nonsingular universe in massive gravity's rainbow
• Thermal fluctuations of charged black holes in gravity's rainbow
• Dilatonic black holes in gravity's rainbow with a nonlinear source: the effects of thermal fluctuations
• Expansion of magnetic neutron stars in an energy (in)dependent spacetime
• Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity
• Regular Black Holes in Rainbow Gravity
• Deformed Starobinsky model in gravity's rainbow
• Rainbow gravity corrections to the information flux of a black hole and the sparsity of Hawking radiation
• Higher order derivative coupling to gravity and its cosmological implications
• Primordial perturbations with pre-inflationary bounce
• Thermodynamics of Schwarzschild black hole surrounded by quintessence in gravity's rainbow
• Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
• A novel exact magnetic black hole solution in four-dimensional extended scalar-tensor-Gauss-Bonnet theory
• Gravitational Collapse for the K-essence Emergent Vaidya Spacetime
• Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow
• Cosmic string in gravity's rainbow
• Inflation from $f(R)$ theories in gravity's rainbow
• Imperfect fluid cosmological model in modified gravity
• Superradiance of charged black holes in Einstein-Gauss-Bonnet Gravity
• A Non-static Quantum inspired Spacetime in $f(R)$ Gravity: Gravity's Rainbow
• On Bouncing and Nonsingular Solutions in Einstein-scalar-Gauss-Bonnet Cosmology
• Rainbow gravity corrections to the entropic force
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• GUP corrected Casimir Wormholes with Electric Charge in $f(R,L_m)$ Gravity
• The thermodynamics and phase transition of a rainbow black hole
• Vaidya Spacetime in Brans-Dicke Gravity's Rainbow
• Correlations between emission events in Rainbow Gravity
• Free-fall Rainbow BTZ Black Hole
• Energy-dependent topological anti-de Sitter black holes in Gauss-Bonnet Born-Infeld gravity
• Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions
• Phase transition of black holes in Brans--Dicke Born--Infeld gravity through geometrical thermodynamics
• Conformal transformation route to gravity's rainbow
• Gravity Rainbow Effects on Higher Curvature Modification of R2 inflation
• The Varying Speed of Light in Eddington-inspired Born-Infield Gravity with Rainbow Metric
• Observational Constraints on Asymptotic Safety Inflation in Gravity Rainbow