Potentials of the type $a_n/r^n$, $n>1$, in collapsing systems in general relativity
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 153-163
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A nonlinear generalization of Maxwell's equations is constructed; it leads to static repulsive
potentials of the type $a_n/r^n$, $n>1$. The corresponding analog of the Nordström–
Reissner metric is constructed. It is shown that in classical, i.e., nonquantum,
physics the forces, $a_n/r^{n+1}$, $n>1$, do not lead to divergences of the source selfenergy
in general relativity. It is shown that if a collapsing system passes through its
gravitational radius – forming a black hole – the classical forces $a_n/r^{n+1}$, $n>1$, and
also the electrostatic and gravitational forces, do not vanish in the exterior space; this
result contradicts Hartle's result [6] obtained for pair neutrino forces $(\sim1/r^5)$.
@article{TMF_1972_12_2_a0,
author = {V. A. Berezin and M. A. Markov},
title = {Potentials of the type $a_n/r^n$, $n>1$, in collapsing systems in general relativity},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {153--163},
publisher = {mathdoc},
volume = {12},
number = {2},
year = {1972},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a0/}
}
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%0 Journal Article %A V. A. Berezin %A M. A. Markov %T Potentials of the type $a_n/r^n$, $n>1$, in collapsing systems in general relativity %J Teoretičeskaâ i matematičeskaâ fizika %D 1972 %P 153-163 %V 12 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a0/ %G ru %F TMF_1972_12_2_a0
V. A. Berezin; M. A. Markov. Potentials of the type $a_n/r^n$, $n>1$, in collapsing systems in general relativity. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 153-163. http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a0/