Abstract
The stability of de Sitter space in the presence of a black hole is shown. The gravitational and electromagnetic perturbations of a Reissner-Nordstrom black hole which is asymptotically de Sitter instead of asymptotically flat are considered in terms of complex potentials. This result on stability can also be applied to the inflationary scenario.
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Ahmed, M. Stability of hot Reissner-Nordstrom black hole. Int J Theor Phys 30, 1697–1702 (1991). https://doi.org/10.1007/BF00673646
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DOI: https://doi.org/10.1007/BF00673646