The GUP and quantum Raychaudhuri equation

Autor: Elias C. Vagenas, Lina Alasfar, Salwa M. Alsaleh, Ahmed Farag Ali
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Nuclear Physics B, Vol 931, Iss C, Pp 72-78 (2018)
Druh dokumentu: article
ISSN: 0550-3213
1873-1562
DOI: 10.1016/j.nuclphysb.2018.04.004
Popis: In this paper, we compare the quantum corrections to the Schwarzschild black hole temperature due to quadratic and linear-quadratic generalised uncertainty principle, with the corrections from the quantum Raychaudhuri equation. The reason for this comparison is to connect the deformation parameters β0 and α0 with η which is the parameter that characterises the quantum Raychaudhuri equation. The derived relation between the parameters appears to depend on the relative scale of the system (black hole), which could be read as a beta function equation for the quadratic deformation parameter β0. This study shows a correspondence between the two phenomenological approaches and indicates that quantum Raychaudhuri equation implies the existence of a crystal-like structure of spacetime.
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