Understand
We study scalar massless and electromagnetic fields from static sources in a static higher dimensional spacetime.
- Exact expressions for static Green's functions for such problems are obtained in the background of the Majumdar-Papapetrou solutions of the Einstein-Maxwell equations.
- Using this result we calculated the force between two scalar or electric charges in the presence of one or several extremely charged black holes in equilibrium in the higher dimensional spacetime.
Built on
E. Fermi, On the Electrostatics of a Homogeneous Gravitational Field and on the Weight of Electromagnetic Masses, Nuovo Cimento, 22
1921
Earlier work this paper cites.
E. T. Copson, Electrostatics in a gravitational field, Proc. R. Soc. London A 118
1928
Earlier work this paper cites.
Hong-Yee Chiu and William F. Hoffmann, Gravitation and relativity, W. A. Benjamin Inc., New York – Amsterdam (1964)
1964
Earlier work this paper cites.
B. Leaute and B. Linet, Electrostatics in a Reissner-Nordström spacetime, Phys. Lett. A58
1976
Earlier work this paper cites.
B. Linet, Electrostatics and magnetostatics in the Schwarzschild metric, J. Phys. A 9
1976
Earlier work this paper cites.
B. Linet, Scalar or electric charge at rest in a black hole space-time, C.R. Acad. Sci. A284
1977
Earlier work this paper cites.
Similar
A.G. Smith and C.M. Will, Force On A Static Charge Outside A Schwarzschild Black Hole, Phys. Rev. D22
1980
Cited alongside, same era.
A.I. Zelnikov, V.P. Frolov, Influence of gravitation on the self-energy of charged particles, Sov. Phys. JETP 55
1982
Cited alongside, same era.
Daksh Lohiya, Classical Selfforce On An Electron Near A Charged, Rotating Black Hole, J. Phys. A15
1982
Cited alongside, same era.
K. S. Thorne, R. H. Price, and D. A. Macdonald, Black Holes: The Membrane Paradigm, Yale Univ. Press, New Haven and London (1986)
1986
Cited alongside, same era.
R.C. Myers, Higher-dimensional black holes in compactified space-times, Phys. Rev. D35
1987
Cited alongside, same era.
T. Ortín, Gravity and Strings, Cambridge Univ.Press. (2004)
2004
Cited alongside, same era.
Then
B. Linet, Black holes in which the electrostatic or scalar equation is solvable in closed form, Gen. Rel. Grav. 37
2005
Later among the works it cites.
D.H.J. Cho, A.A. Tsokaros, A.G. Wiseman, The self-force on a non-minimally coupled static scalar charge outside a Schwarzschild black hole, Class. Quant. Grav. 24
2007
Later among the works it cites.
G.W. Gibbons and C. M. Warnick, Universal properties of the near-horizon optical geometry, Phys. Rev. D79
2009
Later among the works it cites.
Jose P.S. Lemos and Vilson T. Zanchin, Electrically charged fluids with pressure in Newtonian gravitation and general relativity in d spacetime dimensions: Theorems and results for Weyl type system, Phys. Rev. D80
2009
Later among the works it cites.
K.-I. Maeda and M. Nozawa, Black hole solutions in string theory, Prog. Theor. Phys. Suppl. 189
2011
Later among the works it cites.
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