Publication Date:
2012-02-18
Description:
We have studied here black hole entropy in the framework of quantum geometry. It is pointed out that the black hole radiation consistent with Hawking spectrum can be realized as an effect of quantum geometry using a dynamical formalism for diffeomorphism invariance which envisages a discretized unit of time in the Planck scale. This formalism suggests that torsion acts within a quantized area unit (area bit) associated with a loop and this eventually forbids the Hamiltonian constraint to be satisfied for a finite loop size. We assign a spin with torsion in each area bit and entanglement entropy of a black hole is computed in terms of the entanglement entropy of this spin system. We have derived the Bekenstein-Hawking entropy along with a logarithmic correction term with a specific coefficient. Also we have shown that the Bekenstein-Hawking entropy can be formulated in terms of the Noether charge associated with a diffeomorphism invariant Lagrangian. Content Type Journal Article Category Research Article Pages 1-7 DOI 10.1007/s10714-012-1334-7 Authors L. Mullick, Department of Mathematics, Hiralal Mazumdar Memorial College for Women, Dakshineswar, Kolkata, 700 035 India P. Bandyopadhyaya, Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata, 700 108 India Journal General Relativity and Gravitation Online ISSN 1572-9532 Print ISSN 0001-7701
Print ISSN:
0001-7701
Electronic ISSN:
1572-9532
Topics:
Physics
