This paper investigates some implications of mimetic gravity on the black hole thermodynamics. We begin with an analysis of the mimetic action and its relationship to the spacetime curvature, highlighting the field equations and their contributions to the black hole solutions. Then we explore the behavior of various thermodynamic parameters including pressure, temperature and heat capacity, revealing some intriguing features of the system near the event horizon.
View Article and Find Full Text PDFThe existence of a minimal measurable length as a characteristic length in the Planck scale is one of the main features of quantum gravity and has been widely explored in the context. Various different deformations of spacetime have been employed successfully for the purpose. However, polymer quantization approach is a relatively new and dynamic field towards the quantum gravity phenomenology, which emerges from the symmetric sector of the loop quantum gravity.
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