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Black holes and black strings of N = 2, d = 5 supergravity in the H-FGK formalism

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Abstract

We study general classes and properties of extremal and non-extremal static black-hole solutions of N = 2, d = 5 supergravity coupled to vector multiplets using the recently proposed H-FGK formalism, which we also extend to static black strings. We explain how to determine the integration constants and physical parameters of the blackhole and black-string solutions. We derive some model-independent statements, including the transformation of non-extremal flow equations to the form of those for the extremal flow. We apply our methods to the construction of example solutions (among others a new extremal string solution of heterotic string theory on K 3 × S 1). In the cases where we have calculated it explicitly, the product of areas of the inner and outer horizon of a non-extremal solution coincides with the square of the moduli-independent area of the horizon of the extremal solution with the same charges.

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Authors and Affiliations

  1. HEP Theory Group, Departamento de Física, Universidad de Oviedo, Avda. Calvo Sotelo s/n, 33007, Oviedo, Spain

    Patrick Meessen

  2. Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera, 13-15, 28049, Madrid, Spain

    Tomás Ortín, Jan Perz & C. S. Shahbazi

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  1. Patrick Meessen
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  2. Tomás Ortín
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  3. Jan Perz
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  4. C. S. Shahbazi
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Correspondence to Tomás Ortín.

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ArXiv ePrint: 1204.0507

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Meessen, P., Ortín, T., Perz, J. et al. Black holes and black strings of N = 2, d = 5 supergravity in the H-FGK formalism. J. High Energ. Phys. 2012, 1 (2012). https://doi.org/10.1007/JHEP09(2012)001

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