Multidimensional Reissner-Nordström problem with a generalized Maxwell field
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Publication:1574067
zbMATH Open0956.83535arXivgr-qc/9703022MaRDI QIDQ1574067
Publication date: 10 August 2000
Published in: Gravitation \& Cosmology (Search for Journal in Brave)
Abstract: We obtain and study static, spherically symmetric solutions for the Einstein - generalized Maxwell field system in 2n dimensions, with possible inclusion of a massless scalar field. The generalization preserves the conformal invariance of the Maxwell field in higher dimensions. Almost all solutions exhibit naked singularities, but there are some classes of black-hole solutions. For these cases the Hawking temperature is found and its charge/mass and dimension dependence is discussed. It is shown that, unlike the previously known multidimensional black-hole solutions, in our case the Hawking temperature may infinitely grow in the extreme case (that of minimum mass for given charges).
Full work available at URL: https://arxiv.org/abs/gr-qc/9703022
naked singularitiesEinstein-generalized Maxwell field systemmultidimensional Reissner-Nordström problem
Space-time singularities, cosmic censorship, etc. (83C75) Kaluza-Klein and other higher-dimensional theories (83E15) Einstein-Maxwell equations (83C22)
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