The Holographic Entanglement Entropy of Schwarzschild Black Holes

Abstract

We show that Schwarzschild black hole metrics are, asymptotically, Weyl equivalent to $Ad{S}_2\times S^{D-2}$ where the spherical factor is the horizon. The holographic entanglement entropy of $Ad{S}_2$ exactly reproduces the Schwarzschild black hole entropy which implies that black hole degrees of freedom live at asymptotic infinity. In generalized theories of gravity, the same procedure reproduces Wald entropy.

25 pages, numerous small corrections and changes made

References in corpus (12)

• Near-horizon symmetries of extremal black holes
• Holographic Entanglement Entropy
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• Extremal vacuum black holes in higher dimensions
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• Black Holes as Conformal Field Theories on Horizons
• Horizon Conformal Field Theories from $Ad{S}_2$ Black Holes
• Rindler Energy is Wald Entropy
• Gravitational Entropy and String Bits on the Stretched Horizon
• On the Holographic Nature Of Rindler Energy
• Liouville Theory on Horizons: Towards a Quantum Theory of Black Holes
• Extremal Black Hole Entropy from Horizon Conformal Field Theories

Cited by in corpus (4)

• Schwarzschild Fuzzball and Explicitly Unitary Hawking Radiations
• Schwarzschild Black Holes and Asymptotic $Ad{S}_2$
• Black Hole Entropy and the Pseudo Goldstone Bosons of Conformal Symmetry
• Computing Black Hole Entropy at Infinity