Published December 1998 | Version Submitted
Journal Article Open

Equivalence of Hawking and Unruh temperatures and entropies through flat space embeddings

Abstract

We present a unified description of temperature and entropy in spaces with either 'true' or 'accelerated observer' horizons: In their (higher-dimensional) global embedding Minkowski geometries, the relevant detectors have constant accelerations a_G; associated with their Rindler horizons are temperature a_G/2π and entropy equal to 1/4 of the horizon area. Both quantities agree with those calculated in the original curved spaces. As one example of this equivalence, we obtain the temperature and entropy of Schwarzschild geometry from its flat D=6 embedding.

Additional Information

© 1998 IOP Publishing Ltd. Received 9 July 1998. This work was supported by NSF grant PHY-9315811; OL thanks the Fischbach Foundation for a fellowship.

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Identifiers

Eprint ID
85377
DOI
10.48550/arXiv.9806223
Resolver ID
CaltechAUTHORS:20180320-103336360

Related works

Funding

NSF
PHY-9315811
Fischbach Foundation

Dates

Created
2018-04-02
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Updated
2023-06-02
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