Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-12-03
Phys.Rev. D58 (1998) 064001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
27 pages, Latex file, 7 figures; revised to clarify our choice of the state and to add references. Accepted for publication in
Scientific paper
10.1103/PhysRevD.58.064001
Extending the analysis in our previous paper, we construct the entanglement thermodynamics for a massless scalar field on the Schwarzschild spacetime. Contrary to the flat case, the entanglement energy $E_{ent}$ turns out to be proportional to area radius of the boundary if it is near the horizon. This peculiar behavior of $E_{ent}$ can be understood by the red-shift effect caused by the curved background. Combined with the behavior of the entanglement entropy, this result yields, quite surprisingly, the entanglement thermodynamics of the same structure as the black hole thermodynamics. On the basis of these results, we discuss the relevance of the concept of entanglement as the microscopic origin of the black hole thermodynamics.
Kodama Hideo
Mukohyama Shinji
Seriu Masafumi
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