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Energy of a slowly-rotating black hole in Horava-Lifshitz gravity by using approximate Lie symmetry methods

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Abstract

The energy content of the Lee-Kim-Myung slowly-rotating black hole (Lee et al., Eur. Phys. J. C 70, 361 (2010)), in the Horava-Lifshitz (HL) theory of gravity is investigated by using approximate Lie symmetry methods for differential equations. The energy of this slowly-rotating black hole in the HL gravity is found to be is rescaled by a r-dependent factor. From the rescaling of energy, the rotation is observed to be added to the mass of the black hole, and this effect decreases with increasing coordinate r. This expression of energy rescaling reduces to the Schwarzschild mass for the limits in which the Lee-Kim-Myung slowly rotating black hole solution in the HL gravity reduces to the Schwarzschild solution in general relativity.

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Authors and Affiliations

  1. School of Electrical Engineering and Computer Science, National University of Sciences and Technology, H-12, Islamabad, Pakistan

    Ibrar Hussain

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  1. Ibrar Hussain
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Hussain, I. Energy of a slowly-rotating black hole in Horava-Lifshitz gravity by using approximate Lie symmetry methods. Journal of the Korean Physical Society 65, 879–883 (2014). https://doi.org/10.3938/jkps.65.879

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  • DOI: https://doi.org/10.3938/jkps.65.879

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