Black Hole Entropy in Induced Gravity and Information Loss

Details Black Hole Entropy in Induced Gravity and Information Loss Black Hole Entropy in Induced Gravity and Information Loss

1999-11-18

arxiv.org/abs/gr-qc/9911065v1

Nucl.Phys.Proc.Suppl. 88 (2000) 277-280

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, the talk given at 3d Meeting on Constrained Dynamics and Quantum Gravity, Villasimius, Sardinia, Italy, 14-18 Septemb

Scientific paper

10.1016/S0920-5632(00)00784-2

The basic assumption of the induced gravity approach is that Einstein theory is an effective, low energy-form of a quantum theory of constituents. In this approach the Bekenstein-Hawking entropy S^{BH} of a black hole can be interpreted as a measure of the loss of information about constituents inside the black hole horizon. To be more exact, S^{BH} is determined by quantum correlations between "observable" and "non-observable" states with positive and negative energy $\cal E$, respectively. It is important that for non-minimally coupled constituents $\cal E$ differs from the canonical Hamiltonian $\cal H$. This explains why previous definitions of the entanglement entropy in terms of $\cal H$ failed to reproduce S^{BH}.

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