Hot attractors

We obtain cosmological solutions with Kasner-like asymptotics in N = 2 gauged and ungauged supergravity by maximal analytic continuation of planar versions of non-extremal black hole solutions. Initially, we construct static solutions with planar symmetry by solving the time-reduced field equations. Upon lifting back to four dimensions, the resulting static regions are incomplete and bounded by a curvature singularity on one side and a Killing horizon on the other. Analytic continuation reveals the existence of dynamic patches in the past and future, with Kasner-like asymptotics. For the ungauged STU-model, our solutions contain previously known solutions with the same conformal diagram as a subset. We find explicit lifts to five, six, ten and eleven dimensions which show that in the extremal limit, the underlying brane configuration is the same as for STU black holes. The extremal limit of the six-dimensional lift is shown to be BPS for special choices of the integration constants. We argue that there is a universal correspondence between spherically symmetric black hole solutions and planar cosmological solutions which can be illustrated using the Reissner-Nordström solution of Einstein-Maxwell theory. * J.Gutowski@surrey.ac.uk † Thomas.Mohaupt@liv.ac.uk ‡ Giacomo@liv.ac.uk

Section: Discussionsupporting

confidence: 89%

From static to cosmological solutions of $$ \mathcal{N} $$ = 2 supergravity

Gutowski

Mohaupt

Pope

2019

“…In N = 2 supergravity, the values of the scalar fields at the two horizons depend on the moduli at infinity. Surprisingly, the attractor mechanism operates to fix robust invariants [50] in this case as well. 1 The geometric mean of the areas of the inner and the outer horizons is the area of the event horizon of the extremal black hole obtained from taking a smooth zero temperature limit.…”

Section: Introductionmentioning

confidence: 88%

“…When V g = 0, using the results of Section 3, it is straightforward to generalize the proof of the area law in [50]. We calculate the temperatures from computing the periodicity of the Euclidean time direction at two real horizons.…”

Section: Higher Dimensional Area Lawmentioning

confidence: 99%

“…This simplifies the derivation, but the assumption is not necessary. Using the arguments from Appendix C of our prior work [50], we can obtain the area relation A + A − = A 2 ext directly without invoking the proportionality of area and entropy. The area law is as well more general than the equivalent statement about entropy.…”

Section: Only Two Real Zerosmentioning

confidence: 99%

“…The presence of an AdS 2 throat fixes scalars at the horizon. For non-extremal black holes, our previous work [50,57] derives conserved quantities associated to the product of the areas of the outer and inner horizon and the extremal attractor equations integrated over the inter-horizon domain. In this paper, we extend this analysis to arbitrary dimension.…”

Section: Invariants For Stationary Backgroundsmentioning

confidence: 99%

See 2 more Smart Citations

Generalized hot attractors

Goldstein

Jejjala

Mashiyane

et al. 2019

Self Cite

Non-extremal black holes are endowed with geometric invariants related to their horizon areas. We extend earlier work on hot attractor black holes to higher dimensions and add a scalar potential. In addition to the event and Cauchy horizons, when we complexify the radial coordinate, non-extremal black holes will generically have other horizons as well. We prove that the product of all of the horizon areas is independent of variations of the asymptotic moduli further generalizing the attractor mechanism for extremal black holes. In the presence of a scalar potential, as typically appears in gauged supergravity, we find that the product of horizon areas is not necessarily the geometric mean of the extremal area, however. We outline the derivation of horizon invariants for stationary backgrounds. arXiv:1811.04963v2 [hep-th]

The hot attractor mechanism: decoupling without deep throats

Goldstein

Jejjala

Nampuri

2016

Self Cite

Non-extremal black holes in N = 2 supergravity have two horizons, the geometric mean of whose areas recovers the horizon area of the extremal black hole obtained from taking a smooth zero temperature limit. In prior work [1] using the attractor mechanism, we deduced the existence of several moduli independent invariant quantities obtained from averaging over a decoupled inter-horizon region. We establish that non-extremal geometries at the Reissner-Nordström point, where the scalar moduli are held fixed, can be lifted to solutions in supergravity with a near-horizon AdS 3 ×S 2 . These solutions have the same entropy and temperature as the original black hole and therefore allow an interpretation of the underlying gravitational degrees of freedom in terms of CFT 2 . Symmetries of the moduli space enable us to explicate the origin of entropy in the extremal limit.