An inverse scattering construction of the JMaRT fuzzball

We construct rotating extremal black hole and attractor solutions in gravity theories by solving a Riemann-Hilbert problem associated with the Breitenlohner-Maison linear system. By employing a vectorial Riemann-Hilbert factorization method we explicitly factorize the corresponding monodromy matrices, which have second order poles in the spectral parameter. In the underrotating case we identify elements of the Geroch group which implement Harrison-type transformations which map the attractor geometries to interpolating rotating black hole solutions. The factorization method we use yields an explicit solution to the linear system, from which we do not only obtain the spacetime solution, but also an explicit expression for the master potential encoding the potentials of the infinitely many conserved currents which make this sector of gravity integrable.

Section: Methodsmentioning

confidence: 99%

“…9 Conversely elements of H are invariant under the automorphisms Θ and θ, but 'anti-invariant' under -transposition. Since we are looking for a generalization of H, we definẽ…”

Section: Jhep06(2017)123mentioning

confidence: 99%

Section: Jhep06(2017)123 1 Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Riemann-Hilbert approach to rotating attractors

Câmara¹,

Cardoso²,

Mohaupt³

et al. 2017

“…There has been recent work which constructs JMaRT solutions using inverse scattering techniques [70]. These methods also offer the prospect of building multi-center generalizations of JMaRT, and may provide a complementary line of enquiry to that described here.…”

Section: Jhep02(2016)073mentioning

confidence: 98%

Non-BPS multi-bubble microstate geometries

Bena

Bossard

Katmadas

et al. 2016

Abstract:We construct the first smooth horizonless supergravity solutions that have two topologically-nontrivial three-cycles supported by flux, and that have the same mass and charges as a non-extremal D1-D5-P black hole. Our configurations are solutions to sixdimensional ungauged supergravity coupled to a tensor multiplet, and uplift to solutions of Type IIB supergravity. The solutions represent multi-center generalizations of the non-BPS solutions of Jejjala, Madden, Ross, and Titchener, which have over-rotating angular momenta. By adding an additional Gibbons-Hawking center, we succeed in lowering one of the two angular momenta below the cosmic censorship bound, and bringing the other very close to this bound. Our results demonstrate that it is possible to construct multi-center horizonless solutions corresponding to non-extremal black holes, and offer the prospect of ultimately establishing that finite-temperature black holes have nontrivial structure at the horizon.

“…One should moreover be able to define general solutions with non-mutually commuting charges at the extremal centres. Understanding the system within the inverse scattering method, could help finding the most general solution and to understand the obstruction to extend it to include regular Cvetic-Youm black holes [31].…”

Section: Resultsmentioning

confidence: 99%

Floating JMaRT

Bossard

Katmadas

2015

We define a new partially solvable system of equations that parametrises solutions to six-dimensional N = (1, 0) ungauged supergravity coupled to tensor multiplets. We obtain this system by applying a series of dualities on the known floating brane system, imposing that it allows for the JMaRT solution. We construct an explicit multi-centre solution generalising the JMaRT solution, with an arbitrary number of additional BPS centres on a line. We describe explicitly the embedding of the JMaRT solution in this system in five dimensions.