Tidal forces in Reissner–Nordström spacetimes
Luís C. B. CrispinoFaculdade de Física, Universidade Federal do Pará, Belém, Pará, 66075-110, BrazilAtsushi HiguchiDepartment of Mathematics, University of York, Heslington, York, YO10 5DD, UKLeandro A. OliveiraDepartment of Mathematics, University of York, Heslington, York, YO10 5DD, UKEdnilton S. de OliveiraFaculdade de Física, Universidade Federal do Pará, Belém, Pará, 66075-110, Brazil
2016en
ABI
Аннотация
We analyze the tidal forces produced in the spacetime of Reissner–Nordström black holes. We point out that the radial component of the tidal force changes sign just outside the event horizon if the charge-to-mass ratio is close to 1, unlike in Schwarzschild spacetime of uncharged black holes, and that the angular component changes sign between the outer and inner horizons. We solve the geodesic deviation equations for radially falling bodies toward the charged black hole. We find, for example, that the radial component of the geodesic deviation vector starts decreasing inside the event horizon unlike in the Schwarzschild case.
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