From static to cosmological solutions of $$ \mathcal{N} $$ = 2 supergravity
| Autor: | Thomas Mohaupt, Jan B. Gutowski, G. Pope |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Nuclear and High Energy Physics Supergravity Analytic continuation M-Theory Curvature p-branes Killing horizon Black hole General Relativity and Quantum Cosmology Singularity Bounded function Black Holes in String Theory lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Brane Supergravity Models Mathematical physics |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2019, Iss 8, Pp 1-66 (2019) |
| Popis: | We obtain cosmological solutions with Kasner-like asymptotics in $$ \mathcal{N} $$ 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. |
| Databáze: | OpenAIRE |
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