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Interior of Schwarzschild black hole as a relativistic free particle

2014/02/13 by Dheeraj Shukla, Shukla, Dheeraj
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Black Holes and Theoretical Physics #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1402.3053

Abstract

Using the standard Hamiltonian approach followed by ADM formalism to the geometry of a Schwarzschild black hole, we show that the interior spacetime of Schwarzschild black hole behaves like a relativistic free particle with Planck mass Mp. We further present the (anti-)BRST quantization of the relativistic free particle representing the interior of Schwarzschild black hole. With help of the (anti-)BRST formalism, we determine the physical states of the system in general Hilbert space. This is a novel observation in the context of gauge theoretic approach to gravity.

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