The Hawking temperature of expanding cosmological black holes
Valerio Faraoni (Bishop's University)
TL;DR
This paper clarifies the correct formula for the Hawking temperature of expanding cosmological black holes, establishing it as T=1/(8πm(t)) based on the Hawking-Hayward quasi-local energy, aligning with recent proposals.
Contribution
It demonstrates that the Hawking temperature for expanding black holes is accurately given by T=1/(8πm(t)), resolving a debate and confirming recent theoretical proposals.
Findings
The Hawking temperature is T=1/(8πm(t)) for expanding black holes.
The expression aligns with the Hawking-Hayward quasi-local energy.
The formula applies to comoving black holes.
Abstract
In the context of a debate on the correct expression of the Hawking temperature of an expanding cosmological black hole, we show that the correct expression in terms of the Hawking-Hayward quasi-local energy m of the hole is T=1/(8\pi m(t)). This expression holds for comoving black holes and agrees with a recent proposal by Saida, Harada, and Maeda.
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