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A smooth road to bumpy horizons: shaping black holes with non-linear sigma models, from supergravity to higher dimensions

Fabrizio Canfora, Nicolás Grandi, Carla Henríquez-Báez, Julio Oliva

Abstract

We construct new families of solutions for General Relativity coupled to a general class of non-linear sigma models, some of which can be embedded in supergravity. The solutions include neutral, charged and magnetized black holes with bumpy horizons, bumpy stars, and anisotropic cosmologies in $d\geq 4$ dimensions, as well as black strings and black $p$-branes. We also present a family of time-dependent solutions in $2+1$-dimensions. The construction relies on a set of first-order Bogomol'nyi-Prasad-Sommerfield relations for the coset scalars, that were recently exploited for the construction of bumpy black holes on the non-linear sigma model with homogenous target $SU(2)/U(1)$ in 2601.22914 [hep-th].

A smooth road to bumpy horizons: shaping black holes with non-linear sigma models, from supergravity to higher dimensions

Abstract

We construct new families of solutions for General Relativity coupled to a general class of non-linear sigma models, some of which can be embedded in supergravity. The solutions include neutral, charged and magnetized black holes with bumpy horizons, bumpy stars, and anisotropic cosmologies in dimensions, as well as black strings and black -branes. We also present a family of time-dependent solutions in -dimensions. The construction relies on a set of first-order Bogomol'nyi-Prasad-Sommerfield relations for the coset scalars, that were recently exploited for the construction of bumpy black holes on the non-linear sigma model with homogenous target in 2601.22914 [hep-th].
Paper Structure (17 sections, 56 equations)

This paper contains 17 sections, 56 equations.

Table of Contents

  1. Introduction
  2. Einstein gravity coupled to a non-linear sigma model
  3. Generalizing the scalar field dynamics: Supergravity
  4. Including additional sources
  5. Adding more scalar fields
  6. Including a Maxwell term
  7. Coupling to a perfect fluid
  8. Higher dimensional black holes and black strings
  9. Bumpy horizons with dimension 2n
  10. Bumpy horizons with dimension 2n+p with a p-dimensional Einstein factor
  11. Bumpy horizons with dimension 2n+p with a p-dimensional toroidal factor
  12. Black strings and black branes in higher dimensions
  13. Time dependent solutions
  14. Anisotropic bumpy cosmology
  15. 2+1-dimensional solutions
  16. ...and 2 more sections