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Higher Dimensional Taub-NUTs and Taub-Bolts in Einstein-Maxwell Gravity
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We present a class of higher dimensional solutions to Einstein-Maxwell equations in d-dimensions. These solutions are asymptotically locally flat, de-Sitter, or anti-de Sitter space-times. The solutions we obtained depend on two extra parameters other than the mass and the nut charge. These two parameters are the electric charge, q and the electric potential at infinity, V, which has a non-trivial contribution. We Analyze the conditions one can impose to obtain Taub-Nut or Taub-Bolt space-times, including the four-dimensional case. We found that in the nut case these conditions coincide with that coming from the regularity of the one-form potential at the horizon. Furthermore, the mass parameter for the higher dimensional solutions depends on the nut charge and the electric charge or the potential at infinity.
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Cited by 1 Pith paper
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Kerr-NUT Thermodynamics: Misner Strings and Nut Charges
A conserved charge built from the nut parameter and the Misner string parameter completes the first law of Kerr-NUT thermodynamics.
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