Quantum time dilation in the near-horizon region of a black hole

Abstract

In this work, we obtain a relation for average quantum time dilation between two clocks A and B in the near-horizon region of a black hole supported by the Rindler metric and conformal tortoise coordinate. It is indicated that this relation is identified with time dilation in classical and flat background limits.

20 pages, 0 figure. The paper is dedicated to the fond memory of one of the authors, Farhad Darabi who passed away on 13 Sept 2022

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Cited by in corpus (2)

• Analogy of space time as un elastic medium -- Can we establish a thermal expansion coefficient of space from the cosmological constant Lambda?
• Universality of quantum time dilation