Summary
The general-relativistic motion of arbitrarily charged test particles is investigated, in the spherically symmetric fields of a charged, static, incoherent matter withT 00 -const. The condition for the existence of stable circular orbits is established, inside and outside the diffused source. The null geodesics are also investigated, as a limiting case.
Riassunto
Si studia il moto in relatività generale di particelle di prova a carica arbitraria, nei campi a simmetria sferica di materia carica, statica e incoerente conT 00 =const. Si stabilisce la condizione per l'esistenza di orbite circolari stabili, all'interno e all'esterno della sorgente diffusa. Si studiano anche le geodesiche diffuse, come caso limite.
Резюме
Исследуется релятивистское движение заряженных пробных частиц в сферически симметричных полях заряженногох статического некогерентного вещества сT 00 =const. Устанавливается условие для существования устойчивых круговых орбит внутри и вне диффузного источника. Как предельный случай, исследуются нулевые геодезические линии.
Similar content being viewed by others
References
U. K. De andA. K. Raychaudhuri:Proc. R. Soc. London Ser. A,303, 47 (1968).
W. B. Bonnor:Nature (London),204, 868 (1964).
A. Das:Proc. R. Soc. London Ser. A,267, 1 (1962).
S. D. Majumdar:Phys. Rev.,72, 390 (1947).
A. Papapetrou:Proc. R. Ir. Acad.,51, 191 (1947).
W. B. Bonnor:Z. Phys.,160, 59 (1960).
W. B. Bonnor:Mon. Not. R. Astron. Soc.,129, 443 (1965).
F. I. Cooperstock andV. de la Cruz:Gen. Rel. Grav.,9, 835 (1978).
Gp. Horedti:Gen. Rel. Grav.,5, 475 (1974).
A. I. Janis:Phys. Rev. D,8, 2360 (1973);15, 3068 (1977).
G. C. McVittie:Astrophys. J.,75, 287 (1970).
A. F. da F. Teixeira andM. M. Som:J. Phys. A,7, 838 (1974);Nuovo Cimento B,38, 28 (1977).
A. Armenti jr.:Nuovo Cimento B,25, 442 (1975). His radial co-ordinate,r A, is related to ours throughr A=r+M.
A. Armenti jr. andP. Havas: inRelativity and Gravitation, edited byG. C. Kuper andA. Peres (London, 1971), p. 1.
N. Dadhich andP. P. Kale:Pramana,9, 71 (1977). Their radial co-ordinate is related to ours throughr DK=r+M.
R. C. Tolman:Phys. Rev.,35, 875 (1930).
K. C. Chung, T. Kodama andA. F. da F. Teixeira:Phys. Rev. D,16, 2412 (1977).
A. F. da F. Teixeira, I. Wolk andM. M. Som:Phys. Rev. D,12, 319 (1975).
K. A. Bronnikov:Gen. Rel. Grav.,9, 271 (1978).
A. F. de F. Teixeira, I. Wolk andM. M. Som:J. Phys. A,9, 1267 (1976).
Author information
Authors and Affiliations
Additional information
To speed up publication, the author of this paper has agreed to not receive the proofs for correction.
Traduzione a cura della Redazione.
Переведено редакцией.
Rights and permissions
About this article
Cite this article
Teixeira, A.F.d.F. Motions in the relativistic fields of charged dust. Nuov Cim B 55, 276–282 (1980). https://doi.org/10.1007/BF02739161
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02739161