Rainbow-like Black Hole metric from Loop Quantum Gravity

Abstract

The hypersurface deformation algebra consists in a fruitful approach to derive deformed solutions of general relativity based on symmetry considerations with quantum gravity effects, whose linearization has been recently demonstrated to be connected to the DSR program by the $\kappa$-Poincaré symmetry. Based on this approach, we analyzed the solution derived for the interior of a black hole and we found similarities with the, so called, rainbow metrics, like a momentum-dependence of the metric functions. Moreover, we derived an effective, time-dependent Planck length and compared different regularization schemes.

arXiv comment29 pages

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Cited by in corpus (6)

• Effective Quantum Extended Spacetime of Polymer Schwarzschild Black Hole
• Mass and Horizon Dirac Observables in Effective Models of Quantum Black-to-White Hole Transition
• Effects of Planck-scale-modified dispersion relations on the thermodynamics of charged black holes
• Relativistic Bose-Einstein condensate in the rainbow gravity
• Editorial for the Special Issue "Progress in Group Field Theory and Related Quantum Gravity Formalisms"
• DSR-relativistic spacetime picture and the phenomenology of Planck-scale-modified time dilation