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arXiv · 1908.06908

Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials

Cristóbal Corral·Daniel Flores-Alfonso·Hernando Quevedo
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Abstract

Wheeler's approach to finding exact solutions in Lovelock gravity has been predominantly applied to static spacetimes. This has led to a Birkhoff's theorem for arbitrary base manifolds in dimensions higher than four. In this work, we generalize the method and apply it to a stationary metric. Using this perspective, we present a Taub-NUT solution in eight-dimensional Lovelock gravity coupled to Maxwell fields. We use the first-order formalism to integrate the equations of motion in the torsion-free sector. The Maxwell field is presented explicitly with general integration constants, while the background metric is given implicitly in terms of a cubic algebraic equation for the metric function. We display precisely how the NUT parameter generalizes Wheeler polynomials in a highly nontrivial manner.

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Cristóbal Corral, Daniel Flores-Alfonso, Hernando Quevedo. 2019-09-25. Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials. https://doi.org/10.1103/physrevd.100.064051

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