Author:
Eom Hwajin,Jung Sojeong,Kim Wontae
Abstract
Abstract
A sufficiently large Schwarzschild AdS black hole with the Hawking temperature
has a positive heat capacity and undergoes the Hawking-Page phase transition.
Even though an arbitrary isothermal surface of a cavity
is introduced, the essential features about the stability and phase transition of the
Schwarzschild AdS black hole remain the same.
In this paper, we study the stability and the Hawking-Page phase transition of the Schwarzschild AdS black hole by employing an alternative local temperature satisfying the Hartle-Hawking vacuum condition which states that
the ingoing and outgoing fluxes vanish at the horizon so that the local temperature is naturally zero there.
The different definition of the local temperature based on the stress tensor approach
provides different types of stability and phase transition.
For a AdS curvature radius below a critical one,
the medium-sized black hole is found to be stable and the other small and large black holes turn
out to be unstable regardless of the AdS curvature radius.
Furthermore, we encounter various critical temperatures.
The first one is for the Hawking-Page phase transition between the medium-sized black hole and thermal AdS, and
the second one is for a phase transition between the large black hole and thermal AdS; however, the latter one is not essential because
the large black hole and thermal AdS eventually collapse to the medium-sized black hole.
Interestingly, we find an additional critical temperature related to the zeroth-order
phase transition between the medium-sized black hole and thermal AdS.
Consequently, the medium-sized black hole undergoes both the Hawking-Page phase transition
and the zeroth-order phase transition.
Subject
Astronomy and Astrophysics
Cited by
2 articles.
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