Proper temperature of the Schwarzschild AdS black hole revisited

DOI10.1016/J.PHYSLETB.2017.08.009zbMATH Open1378.83036arXiv1703.00589OpenAlexW2592930849MaRDI QIDQ679893

Myungseok Eune, Wontae Kim

Publication date: 22 January 2018

Published in: Physics Letters B (Search for Journal in Brave)

Abstract: The Unruh temperature calculated from the global embedding of the Schwarzschild AdS spacetime into Minkowski spacetime was identified with the local temperature measured by a free-fall observer; however, it would be imaginary in a certain region outside the event horizon. So, the temperature was assumed to be zero of no thermal radiation for that region. In this paper, we revisit this issue in the exactly soluble two-dimensional Schwarzschild AdS black hole and present an alternative resolution to this problem by using the Tolman's procedure. However, the process is not straightforward in the sense that one should extend the original procedure to rest upon the traceless energy-momentum tensor in such a way that it could encompass the case of the non-vanishing trace of energy-momentum tensor in the presence of the trace anomaly. Consequently, we show that the free-fall temperature turns out to be real everywhere outside the event horizon without any imaginary value, in particular, it vanishes both at the horizon and at the asymptotic infinity.

Full work available at URL: https://arxiv.org/abs/1703.00589

zbMATH Keywords

Hawking temperatureeffective Tolman temperatureproper temperatureSchwarzschild AdS spacetimes

Mathematics Subject Classification ID

Black holes (83C57)

Cites Work

• Taking the temperature of a black hole
• Particle creation by black holes
• Hawking versus Unruh effects, or the difficulty of slowly crossing a black hole horizon
• Accelerated detectors and temperature in (anti-) de Sitter spaces
• Black hole explosions?

Related Items (6)

Hawking-Page phase transition of the Schwarzschild AdS black hole with the effective Tolman temperature ⋮ GEMS embeddings and freely falling temperatures of Schwarzschild(-AdS) black holes in massive gravity ⋮ High temperature AdS black holes are low temperature quantum phonon gases ⋮ Black-body anomaly: analysis of temperature offsets ⋮ Anomalous Luttinger equivalence between temperature and curved spacetime: from black holes to thermal quenches ⋮ On thermal radiation of De Sitter space in the semiclassical Jackiw-Teitelboim model

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