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Statistics effects in extremal black holes ensemble | | A.M. Gavrilik
; A.V. Nazarenko
; | | Date: |
11 Jul 2019 | | Abstract: | We consider a grand canonical ensemble of the static and extremal black
holes, when an equivalence of electric charge and mass of individual black hole
is assumed. Assuming a homogeneous distribution of black holes in space, we are
finding the effective mass of test particle and the mean time dilation at the
admissible points of space, taking into account the gravitational action of
surrounding black holes. With the help of these characteristics, we are mainly
studying the effect of quantum statistics governing the extremal black holes.
We concentrate here on Bose--Einstein, Fermi--Dirac, classical and infinite
statistics, when each of them specifies the statistical weight for a
configuration of certain fixed number of black holes. Using mean field
approximation, the aforementioned characteristics are calculated and
visualized, what permits us to draw the conclusions on the visible effect of
each statistics. | | Source: | arXiv, 1907.5095 | | Services: | Forum | Review | PDF | Favorites | |
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