Ig. Dymnikova, DE-SITTER-SCHWARZSCHILD BLACK-HOLE - ITS PARTICLE-LIKE CORE AND THERMODYNAMICAL PROPERTIES, International journal of modern physics D, 5(5), 1996, pp. 529-540
We analyze the globally regular solution of the Einstein equations des
cribing a black hole whose singularity is replaced by the de Sitter co
re. The de Sitter-Schwarzschild black hole (SSBH) has two horizons. In
side of it there exists a particlelike structure hidden under the exte
rnal horizon. The critical value of mass parameter M(cr1) exists corre
sponding to the degenerate horizon. It represents the lower limit for
a black-hole mass. Below M(cr1) there is no black hole, and the de Sit
ter-Schwarzschild solution describes a recovered particlelike structur
e. We calculate the Hawking temperature of SSBH and show that specific
heat is broken and changes its sign at the value of mass M(cr2) > M(c
r1) which means that a second-order phase transition occurs at that po
int. We show that the Hawking temperature drops to zero when a mass ap
proaches the lower limit M(cr1).