A Proposal for Testing Gravity's Rainbow

Abstract

Various approaches to quantum gravity such as string theory, loop quantum gravity and Horava-Lifshitz gravity predict modifications of the energy-momentum dispersion relation. Magueijo and Smolin incorporated the modified dispersion relation (MDR) with the general theory of relativity to yield a theory of gravity's rainbow. In this paper, we investigate the Schwarzschild metric in the context of gravity's rainbow. We investigate rainbow functions from three known modified dispersion relations that were introduced by Amelino-Camelia, et el. in [arXiv:hep-th/9605211, arXiv:0806.0339v2, arXiv:astro-ph/9712103] and by Magueijo-Smolin in [arXiv:hep-th/0112090]. We study the effect of the rainbow functions on the deflection of light, photon time delay, gravitational red-shift, and the weak equivalence principle. We compare our results with experiments to obtain upper bounds on the parameters of the rainbow functions.

6 pages, no figures, to appear in Europhysics Letters

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Cited by in corpus (31)

• Remnant for all Black Objects due to Gravity's Rainbow
• Charged Dilatonic Black Holes in Gravity's Rainbow
• Absence of Black Holes at LHC due to Gravity's Rainbow
• Modified TOV in gravity's rainbow: properties of neutron stars and dynamical stability conditions
• Black Holes in Gauss-Bonnet Gravity's Rainbow
• Nonsingular Universes in Gauss-Bonnet 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
• F(R) gravity's rainbow and its Einstein counterpart
• Branes in Gravity's Rainbow
• Asymptotically charged BTZ Black Holes in Gravity's Rainbow
• Black hole thermodynamics in Lovelock gravity's rainbow with (A)dS asymptote
• Exact solutions and phenomenological constraints from massive scalars in a Gravity's Rainbow spacetime
• Thermal analysis of photon-like particles in rainbow gravity
• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession
• Rainbow gravity corrections to the information flux of a black hole and the sparsity of Hawking radiation
• Hawking, Fiducial, and Free-fall Temperatures of Black Hole on Gravity's Rainbow
• Energy Scale of Lorentz Violation in Rainbow Gravity
• Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow
• An experimental test of gravity at high energy
• Absorption cross section in gravity's rainbow from confluent Heun equation
• Modified dispersion relations and a potential explanation of the EDGES anomaly
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow
• Weak equivalence principle and nonrelativistic limit of general dispersion relations
• Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow
• Thermodynamic analysis of a compact object in Rastall-Rainbow gravity
• Gamma Ray Bursters and Black Holes in the Gravity's Rainbow
• Rainbow's Gravity Corrections to the Black Hole Global Casimir Effect
• The effect of loop quantum gravitational rainbow functions on the formation of naked singularities
• Gravitational Redshift in Kerr-Newman Geometry Using Gravity's Rainbow