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Geometrical and hydrodynamic aspects of five-dimensional Schwarzschild black hole

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Abstract

Exploiting the five-dimensional Schwarzschild black hole, we study the geometrical natures of higher-dimensional black holes to yield the (6+1)-dimensional global embedding Minkowski space structure. We next obtain the Hawking temperature and entropy on this five-dimensional manifold, and the results are different from the four-dimensional ones. On the contrary, the radial component of the Einstein equation for the massive particles or photons on the five-dimensional spacetime is shown to have the same form as that for the four-dimensional black hole one. Moreover, we construct an effective potential on the equatorial plane of the restricted three-brane to investigate the behavior of the particles or photons on this restricted brane.

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Authors and Affiliations

  1. Department of Science Education and Research Institute for Basic Sciences, Ewha Womans University, Seoul, 120-750, Korea

    Soon-Tae Hong

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  1. Soon-Tae Hong
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Correspondence to Soon-Tae Hong.

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Hong, ST. Geometrical and hydrodynamic aspects of five-dimensional Schwarzschild black hole. Journal of the Korean Physical Society 64, 1928–1934 (2014). https://doi.org/10.3938/jkps.64.1928

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  • DOI: https://doi.org/10.3938/jkps.64.1928

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