Energy Formula for Newman-Unti-Tamburino class of Black Holes

Abstract

We compute the \emph{surface energy~(${\mathcal{E}}_s^{\pm }$), the rotational energy~(${\mathcal{E}}_r^{\pm }$) and the electromagnetic energy~(${\mathcal{E}}_{em}^{\pm }$)} for Newman-Unti-Tamburino~(NUT) class of black hole having the event horizon~(${\mathcal{H}}^{+}$) and the Cauchy horizon~(${\mathcal{H}}^{-}$). Remarkably, we find that the \emph{mass parameter can be expressed as sum of three energies i. e. $M={\mathcal{E}}_s^{\pm }+{\mathcal{E}}_r^{\pm }+{\mathcal{E}}_{em}^{\pm }$}. It has been \emph{tested} for Taub-NUT black hole, Reissner-Nordström-Taub-NUT black hole, Kerr-Taub-NUT black hole and Kerr-Newman-Taub-NUT black hole. In each case of black hole, we find that \emph{the sum of these energies is equal to the Komar mass}. It is plausible only due to the introduction of new conserved charges i.e. $J_N=MN$~(where $M=m$ is the Komar mass and $N=n$ is the gravitomagnetic charge), which is closely analogue to the Kerr-like angular momentum parameter $J=aM$.

arXiv commentAccepted in General Relativity and Gravitation~(Letter)

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Cited by in corpus (6)

• Consistent mass formulas for the four-dimensional dyonic NUT-charged spacetimes
• Consistent mass formulas for higher even-dimensional Taub-NUT spacetimes and their AdS counterparts
• Meissner effect and holographic dual for the Melvin-Kerr-Newman-Taub-NUT spacetimes
• Entropy Product Function and Central charges in NUT Geometry
• Bekenstein-Hawking Entropy Products for NUT class of Black Holes in AdS Space
• Energy Formula, Surface geometry and Energy Extraction for Kerr-Sen Black Hole