The effects of a minimal length on the Kerr metric and the Hawking temperature
arxiv(2024)
摘要
A brief review of the pseudo complex General Relativity (pcGR) will be
presented, with its consequences, as the accumulation of a dark energy around a
mass and a generalized Machs principle. The main objective in this contribution
is to determine the Hawking temperature and the Entropy for various limits: i)
The pc-Schwarzschild case with no minimal length present, ii) the pc-Kerr
metric without a minimal length and iii) the general case, the pc-Kerr metric
with a minimal length present. The physical consequences of a minimal length
will be discussed, a possible interpretation of a gravitational Schwinger
effect and the appearance of negative temperature. For large masses a minimal
length does not show any sensible effect, but only for very small masses,
several orders of the Planck mass, where non-trivial effects emerge, important
for the production of mini-black holes in the early universe. Our results are
more general than being restricted to pcGR. Any other model which assumes a
distribution of dark energy around a stellar body produces the same effects. In
contrast to these models, pcGR demands the presence of a dark energy term.
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