A brief study on quasi-normal modes in the D infinity limit in Lovelock theory

Finely split phase transitions of rotating and accelerating black holes

“…this happens for black holes outside of the slowly accelerating regime. Consequently, instead of one transition pressure P (J) t as in [19], we now observe 3 important critical pressures: the pressure P nbh at which the 'no black hole' region appears, the pressure P 0 < P nbh where the zeroth order phase transition starts, and the pressure P f < P 0 at which zeroth and first order phase transitions co-terminate. In this sense the presence of rotation provides a "fine splitting" of the transition pressure P (J) t .…”

“…Here V is the thermodynamic volume, a conjugate quantity to the thermodynamic pressure [5], and λ ± are the thermodynamic lengths, conjugates to the string tensions [13]. The above quantities satisfy both the generalized first law and the associated Smarr relation: [19]) displays the analogous curves for the charged case with a fixed dimensionless charge parameterẽ = eA = 0.2. While in the charged case the point X lies at the intersection of three (red, blue, and green) boundary curves, rotation removes this degeneracy and we now observe two salient intersection points: X and Y .…”

“…For the charged case, the presence of the second string has only quantitative but not qualitative effects on the phase behaviour of the system [19] and that is why we choose (15) for the rotating case as well.…”

“…Before turning to the phase transitions, we first probe the admissible parameter space for which slowly accelerating rotating black holes exist and compare it to the parameter space of the charged accelerating black holes analyzed in [19].…”

“…In this paper we study the thermodynamic behaviour of accelerating and rotating black holes in AdS. Our investigation is motivated by a recent study of the phase transitions of charged and (slowly) accelerating black holes [19], in which the surprising phenomenon of "snapping swallowtails" was discovered: the swallowtail indicating first order phase transitions snaps and disappears as one lowers the pressure below a critical transition pressure…”