Biconformal symmetry and static Maxwell fields near higher-dimensional black holes

Frolov, Valeri P.; Zelnikov, Andrei

doi:10.1103/physrevd.92.024023

Cited by 2 publications

(1 citation statement)

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“…Upon completion of this work, we were made aware of a different derivation by Frolov and Zelnikov of the closed form Green's functions presented here [45][46][47]. Their derivation does not rely on summing the modes as we have done but rather relates the static Green's function on the black hole spacetime to the static Green's function on the Bertotti-Robinson spacetime by a simultaneous rescaling of the induced metric and the lapse.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Static self-forces in a five-dimensional black hole spacetime

Taylor

Flanagan

2015

Phys. Rev. D

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We obtain the electric field and scalar field for a static point charge in closed form in the 5D Schwarzschild-Tangherlini black hole spacetime. We then compute the static self-force in each of these cases by assuming that the appropriate singular field is a 4D Hadamard Green's function on the constant time Riemannian slice. It is well known that the Hadamard representation of a Green's function involves an arbitrary regular biscalar W0(x, x ), whose coincidence limit w(x) appears in the expression for the self-force. We develop an axiomatic approach to reduce this arbitrary function to a single arbitrary dimensionless coefficient. We show that in the context of this approach to regularization, the self-force does not depend on any undetermined length-scale and need not depend on the internal structure of the charge.

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Section: Conclusion and Discussionmentioning

confidence: 99%