Hawking radiation and masses in generalized dilaton theories
H. Liebl (Vienna, Tech. U.), D.V. Vassilevich, S. Alexandrov (St., Petersburg University)
TL;DR
This paper investigates generalized dilaton theories, calculating ADM and Bondi-Sachs masses, proposing a new energy definition, and analyzing how Hawking radiation varies with mass depending on model parameters.
Contribution
It introduces a generalized dilaton action encompassing standard dilaton black holes and spherically reduced gravity, with new mass definitions and radiation behavior analysis.
Findings
Calculated ADM and Bondi-Sachs masses for the model
Proposed a modified energy expression for asymptotic conditions
Found Hawking radiation varies as a positive or negative power of mass
Abstract
A generalized dilaton action is considered of which the standard dilaton black hole and spherically reduced gravity are particular cases. The Arnowitt-Deser-Misner (ADM) and the Bondi-Sachs (BS) mass are calculated. Special attention is paid to both the asymptotic conditions for the metric as well as for the reference space-time. For the latter one we suggest a modified expression thereby obtaining a new definition of energy. Depending on the parameters of the model the Hawking radiation behaves like a positive or negative power of the mass.
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