Research and Innovation Articles
Published 2000-04-05
How to Cite
González, G. A. (2000). Carnadas finas e discos em relatividade geral. Revista Integración, Temas De matemáticas, 18(1), 19–31. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/830
Abstract
Apresentamos um método para a obtencáo de modelos relativísticos de discos finitos com suporte de esforco na direcáo radial, tanto estáticos como estacionarios. Tais modelos sao construidos a partir de solucoes axialmente simétricas as equacoes de Einstein no vazio, refletindo-as através do plano do disco.
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References
1]Bonnor, W. B. and Sackfield, A. “The Interpretation of Some Spheroidal Me-trics”.Comm. Math. Phys. 8, 338 (1968).
[2]Morgan, L. and Morgan, T. “Gravitational Field of Shells and Disks in GeneralRelativity”.Phys. Rev. D2, 2756 (1970).
[3]Morgan, T. and Morgan, L. “The Gravitational Field of a Disk”.Phys. Rev.183, 1097 (1969).
[4]Chamorro, A., Gregory, R. and Stewart, J. M. “Static Axially Symmetric Disksand Gravitational Collapse”.Proc. R. Soc. Lond. A413, 251 (1987).
[5]Lemos, J. P. S. “Self-similar Relativistic Disks with Pressure”. Class.QuantumGrav. 6, 1219 (1989).
[6]Lemos, J. P. S. and Letelier, P. S. “Superposition of Morgan and Morgan Diskswith a Schwarzschild Black Hole”. Class.Quantum Grav. 10, L75 (1993).
[7]Lemos, J. P. S. and Letelier, P. S. “Exact General Relativistic Thin Disks aroundBlack Holes”.Phys. Rev. D49, 5135 (1994).
[8]Lemos, J. P. S. and Letelier, P. S. “Two Families of Exact Disks with a CentralBlack Hole”.Int. J. Mod. Phys. D5, 53 (1996).
[9]Bicák, J., Lynden-Bell, D. and Katz, J. “Relativistic Disks as Sources of StaticVacuum Spacetimes”.Phys. Rev. D47, 4334 (1993).
[10]Bicák, J., Lynden-Bell, D. and Pichon, C. “Relativistic Disks and Flat GalaxyModels”.Mon. Not. R. Astron. Soc. 265, 126 (1993).
[11]Bicák, J. and Ledvinka, T. “Relativistic Disks as Sources of the Kerr Metric”.Phys. Rev. Lett. 71, 1669 (1993).
[12]Ledvinka, T., Zofka, M. and Bicák, J. “Relativistic Disks as Sources of the Kerr-Newman Fields”. To appear inProc. of the MGM8 Meeting, Jerusalem (1997).
[13]Pichon, C. and Lynden-Bell, D. “New Sources of Kerr and other Metrics: Rota-ting Relativistic Disks with Pressure Support”.Mon. Not. R. Astron. Soc. 280,1007 (1996).
[14]Binney, J. and Tremaine, S. “Galactic Dynamics”. Princeton University Press,1987.[15]Friedman, A. and Polyachenco, V. L.Physics of Gravitating Systems. SpringerVerlag, 1984.
[16]Feinstein, A., Ib ́a ̃nez, J. and Lazkoz, R. “Disks in Expanding FRW Universes”.Astrophys. J. 495, 131 (1998).
[17]Lemos, J. P. S. and Ventura, O. “Planar and Axisymmetric Walls in GeneralRelativity”.J. Math. Phys. 35, 3604 (1994).[18]Letelier, P. S. “Space-time Defects: Open and Closed Shells”.J. Math. Phys.36, 3043 (1995).
[19]Letelier, P. S. and Wang, A. “Space-time Defects”.J. Math. Phys. 36, 3023(1995).
[20]Taub, A. H. “Space-times with Distribution Valued Curvature Tensors”.J.Math. Phys. 21, 1423 (1980).
[21]Wang, A. “Plane Walls Interacting with Gravitational Waves and Matter Fields”.J. Math. Phys. 32, 2863 (1991).
[22]Wang, A. “Dynamics of Plane Symmetric Thin Walls in General Relativity”.Phys. Rev. D45, 3534 (1992).
[23]Kramer, D., Stephani, H., Herlt, E. and McCallum, M.Exact Solutions of Ein-stein’s Field Equations. Cambridge University Press, 1980.
[24]Wald, R. M. “General Relativity”. The University of Chicago Press, 1980.
[25]Doubrovine, B., Novikov, S. and Fomenko, A.G ́eom ́etrie Contemporaine, Premi`erePartie. ́Editions MIR, 1985.
[26]Hawking, S. W. and Ellis, G. F. R. “The Large Scale Structure of Space-Time”.Cambridge University Press, 1973.
[27]Lichnerowicz, A.Théories Relativistes de la Gravitation et de L’ ́Electromagn ́e-tisme. Masson, 1955.[28]Møller, C.The Theory of Relativity. Oxford University Press, 1972.
[29]Tolman, R. C.Relativity, Thermodynamics and Cosmology. Dover, 1987.
[2]Morgan, L. and Morgan, T. “Gravitational Field of Shells and Disks in GeneralRelativity”.Phys. Rev. D2, 2756 (1970).
[3]Morgan, T. and Morgan, L. “The Gravitational Field of a Disk”.Phys. Rev.183, 1097 (1969).
[4]Chamorro, A., Gregory, R. and Stewart, J. M. “Static Axially Symmetric Disksand Gravitational Collapse”.Proc. R. Soc. Lond. A413, 251 (1987).
[5]Lemos, J. P. S. “Self-similar Relativistic Disks with Pressure”. Class.QuantumGrav. 6, 1219 (1989).
[6]Lemos, J. P. S. and Letelier, P. S. “Superposition of Morgan and Morgan Diskswith a Schwarzschild Black Hole”. Class.Quantum Grav. 10, L75 (1993).
[7]Lemos, J. P. S. and Letelier, P. S. “Exact General Relativistic Thin Disks aroundBlack Holes”.Phys. Rev. D49, 5135 (1994).
[8]Lemos, J. P. S. and Letelier, P. S. “Two Families of Exact Disks with a CentralBlack Hole”.Int. J. Mod. Phys. D5, 53 (1996).
[9]Bicák, J., Lynden-Bell, D. and Katz, J. “Relativistic Disks as Sources of StaticVacuum Spacetimes”.Phys. Rev. D47, 4334 (1993).
[10]Bicák, J., Lynden-Bell, D. and Pichon, C. “Relativistic Disks and Flat GalaxyModels”.Mon. Not. R. Astron. Soc. 265, 126 (1993).
[11]Bicák, J. and Ledvinka, T. “Relativistic Disks as Sources of the Kerr Metric”.Phys. Rev. Lett. 71, 1669 (1993).
[12]Ledvinka, T., Zofka, M. and Bicák, J. “Relativistic Disks as Sources of the Kerr-Newman Fields”. To appear inProc. of the MGM8 Meeting, Jerusalem (1997).
[13]Pichon, C. and Lynden-Bell, D. “New Sources of Kerr and other Metrics: Rota-ting Relativistic Disks with Pressure Support”.Mon. Not. R. Astron. Soc. 280,1007 (1996).
[14]Binney, J. and Tremaine, S. “Galactic Dynamics”. Princeton University Press,1987.[15]Friedman, A. and Polyachenco, V. L.Physics of Gravitating Systems. SpringerVerlag, 1984.
[16]Feinstein, A., Ib ́a ̃nez, J. and Lazkoz, R. “Disks in Expanding FRW Universes”.Astrophys. J. 495, 131 (1998).
[17]Lemos, J. P. S. and Ventura, O. “Planar and Axisymmetric Walls in GeneralRelativity”.J. Math. Phys. 35, 3604 (1994).[18]Letelier, P. S. “Space-time Defects: Open and Closed Shells”.J. Math. Phys.36, 3043 (1995).
[19]Letelier, P. S. and Wang, A. “Space-time Defects”.J. Math. Phys. 36, 3023(1995).
[20]Taub, A. H. “Space-times with Distribution Valued Curvature Tensors”.J.Math. Phys. 21, 1423 (1980).
[21]Wang, A. “Plane Walls Interacting with Gravitational Waves and Matter Fields”.J. Math. Phys. 32, 2863 (1991).
[22]Wang, A. “Dynamics of Plane Symmetric Thin Walls in General Relativity”.Phys. Rev. D45, 3534 (1992).
[23]Kramer, D., Stephani, H., Herlt, E. and McCallum, M.Exact Solutions of Ein-stein’s Field Equations. Cambridge University Press, 1980.
[24]Wald, R. M. “General Relativity”. The University of Chicago Press, 1980.
[25]Doubrovine, B., Novikov, S. and Fomenko, A.G ́eom ́etrie Contemporaine, Premi`erePartie. ́Editions MIR, 1985.
[26]Hawking, S. W. and Ellis, G. F. R. “The Large Scale Structure of Space-Time”.Cambridge University Press, 1973.
[27]Lichnerowicz, A.Théories Relativistes de la Gravitation et de L’ ́Electromagn ́e-tisme. Masson, 1955.[28]Møller, C.The Theory of Relativity. Oxford University Press, 1972.
[29]Tolman, R. C.Relativity, Thermodynamics and Cosmology. Dover, 1987.