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Slowly rotating and accelerating α′-corrected black holes in four and higher dimensions

Felipe Agurto-Sepúlveda1,2, Mariano Chernicoff3,4, Gaston Giribet5, Julio Oliva2, and Marcelo Oyarzo2

  • 1Departamento de Astronomía, Universidad de Concepción, Casilla 160-C, Chile
  • 2Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile
  • 3Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, A.P. 70-542, CDMX 04510, México
  • 4Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICC), Universitat de Barcelona, Martí Franquès 1, ES-08028 Barcelona, Spain
  • 5Departamento de Física, Universidad de Buenos Aires Ciudad Universitaria, pabellón 1, 1428 Buenos Aires, Argentina

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Phys. Rev. D 107, 084014 – Published 7 April, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.084014

Abstract

We consider the low-energy effective action of string theory at order α′, including R2 corrections to the Einstein-Hilbert gravitational action and nontrivial dilaton coupling. By means of a convenient field redefinition, we manage to express the theory in a frame that enables us to solve its field equations analytically and perturbatively in α′ for a static spherically symmetric ansatz in an arbitrary number of dimensions. The set of solutions we obtain is compatible with asymptotically flat geometries exhibiting a regular event horizon at which the dilaton is well behaved. For the four-dimensional case, we also derive the stationary black hole configuration at first order in α′ and in the slowly rotating approximation. This yields string theory modifications to the Kerr geometry, including terms of the form a, a2, α′, and aα′. In addition, we obtain the first α′ correction to the C metrics, which accommodates accelerating black holes. We work in the string frame and discuss the connection to the Einstein frame, for which rotating black holes have already been obtained in the literature.

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Phys. Rev. D 107, 084014– Published 7 April, 2023
  • Received 5 October 2022
  • Accepted 13 March 2023
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