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- Title
Thermodynamics with conformal Killing vector in the charged Vaidya metric.
- Authors
Koh, Seoktae; Park, Miok; Sherif, Abbas M.
- Abstract
We investigate the charged Vaidya spacetime with conformal symmetry by classifying the horizons and finding its connection to Hawking temperature. We find a conformal Killing vector whose existence requires the mass and electric charge functions to be proportional, as well as linear in time. Solving the Killing equations for the conformally transformed metric from the linear charged Vaidya metric yields the required form of the conformal factor. From the vanishing of the norm of the conformal Killing vector, we find three conformal Killing horizons which, under the transformation, are mapped to the Killing horizons of the associated static spacetime, if the spherical symmetry is maintained. We find that the conformal factor is not uniquely determined, but can take any function of the ratio of the radial coordinate to the dynamical mass. As an example, we illustrate a static spacetime with our choice of the conformal factor and explicitly show that the surface gravity of the conformal Killing horizons, which is conformally invariant, yield the expected Hawking temperature in the static spacetime. This static black hole spacetime contains a cosmological horizon, but it is not asymptotically de Sitter. We also investigate the case when the mass parameter is equal to the constant electric charge. While in this case the standard pair of horizons, the loci of the time component of the metric, degenerate, the conformal Killing horizons do not degenerate. This therefore leads to a non-zero Hawking temperature in the associated static spacetime.
- Subjects
SCHWARZSCHILD black holes; THERMODYNAMICS; ELECTRIC charge; SPACE-time symmetries; SPACETIME
- Publication
Journal of High Energy Physics, 2024, Vol 2024, Issue 2, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP02(2024)028