This paper studies the thermodynamical stability of regular BHs in AdS5 background. We investigate off-shell free energy of the system as a function of temperature for different values of a “coupling constant” L = 4θ/l2, where the cosmological constant is Λ = −3/l2 and √ θ is “minimal length.” The parameter L admits a critical value, Linf = 0.2, corresponding to the appearance of an inflexion point in the Hawking temperature. In the weak-coupling regime L < Linf , there are first-order phase transitions at different temperatures. Unlike the Hawking–Page case, at temperature 0 ≤ T ≤ Tmin the ground state is populated by “cold” near-extremal BHs instead of a pure radiation. On the other hand, for L > Linf , only large, thermodynamically stable BHs exist.
THERMODYNAMICAL PHASES OF A REGULAR SAdS BH
SPALLUCCI, EURO
2013-01-01
Abstract
This paper studies the thermodynamical stability of regular BHs in AdS5 background. We investigate off-shell free energy of the system as a function of temperature for different values of a “coupling constant” L = 4θ/l2, where the cosmological constant is Λ = −3/l2 and √ θ is “minimal length.” The parameter L admits a critical value, Linf = 0.2, corresponding to the appearance of an inflexion point in the Hawking temperature. In the weak-coupling regime L < Linf , there are first-order phase transitions at different temperatures. Unlike the Hawking–Page case, at temperature 0 ≤ T ≤ Tmin the ground state is populated by “cold” near-extremal BHs instead of a pure radiation. On the other hand, for L > Linf , only large, thermodynamically stable BHs exist.Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
