Entropy and Topology of Regular Black Holes

Abstract

We calculate the entropy of spherically symmetric regular black holes by the path integral and Noether-charge method. Both methods provide an evidence that the entropy of regular black holes should be proportional to quarter of area, and there is no violation of entropy/area law at all.

Gliner vacuum, self-consistent theory of Ruppeiner geometry for regular black holes

“…That is to say, the semiclassical approach prefers that the entropy of RBHs is A/4 rather than S c . The same result can also be obtained by the Wald method [24]. The situation of RBHs is similar to the case of dielectric in an external electric field [25] where the variation of internal energy does not alter the entropy of a dielectric system.…”

“…where the flat spacetime is selected as background reference [24]. As a result, the total action reads…”

“…( 31) and (32) or Eqs. ( 34) and (37), and simultaneously the entropy is just the Bekenstein-Hawking entropy obtained by path-integral and Wald's method [24].…”