Repulsive force generation due to topological effect of circulating magnetic fluids

Hayasaka, Hideo; Minami, Yoshinari

doi:10.1063/1.57718

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Repulsive Gravity1

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2019

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“…The effects of repulsive gravity have been found in several contexts and different gravitational fields (see, for instance, [10][11][12][13][14][15][16][17][18][19][20] and the references cited therein). In particular, repulsive effects have been identified in the gravitational field of naked singularities and near black holes [21].…”

Section: Repulsive Gravitymentioning

confidence: 99%

C ³ matching for asymptotically flat spacetimes

Gutiérrez-Piñeres

Quevedo

2019

Class. Quantum Grav.

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We propose a criterion for finding the minimum distance at which an interior solution of Einstein's equations can be matched with an exterior asymptotically flat solution. It is based upon the analysis of the eigenvalues of the Riemann curvature tensor and their first derivatives, implying C 3 differentiability conditions. The matching itself is performed by demanding continuity of the curvature eigenvalues across the matching surface. We apply the C 3 matching approach to spherically symmetric perfect fluid spacetimes and obtain the physically meaningful condition that density and pressure should vanish on the matching surface. Several perfect fluid solutions in Newton and Einstein gravity are tested.

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