Letter: Active Gravitational Mass and the Invariant Characterization of Reissner–Nordström Spacetime |
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| Authors: | L. Herrera N. O. Santos J. E. F. Skea |
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| Affiliation: | (1) Escuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, Caracas, Venezuela;(2) Laboratório Nacional de Computação Científica, 25651-070 Petrópolis RJ, Brazil;(3) Centro Brasileiro de Pesquisas Físicas, 22290-180 Rio de Janeiro RJ, Brazil;(4) Departamento de Física Teórica, Universidade Estadual do Rio de Janeiro, 20550-013 Rio de Janeiro RJ, Brazil |
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| Abstract: | We analyse the concept of active gravitational mass for Reissner-Nordström spacetime in terms of scalar polynomial invariants and the Karlhede classification. We show that while the Kretschmann scalar does not produce the expected expression for the active gravitational mass, both scalar polynomial invariants formed from the Weyl tensor, and the Cartan scalars, do. |
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| Keywords: | Black hole curvature invariant |
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