Abstract:
We develop a method for solving the field equations of a quadratic gravitational theory coupled to matter. The quadratic terms are written as a function of the matter stress tensor and its derivatives in such a way as to have, order by order, a set of Einstein field equations with an effective. We study the cosmological scenario recovering the de Sitter exact solution, and the first order (in the coupling constants and appearing in the gravitational Lagrangian) solution to the gauge cosmic string metric and the charged black hole. For this last solution we discuss the consequences on the thermodynamics of black holes, and, in particular, the entropy-area relation which gets additional terms to the usual A4 value. © 1994 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Perturbative method to solve fourth-order gravity field equations |
Autor: | Campanelli, M.; Lousto, C.O.; Audretsch, J. |
Filiación: | Fakultät für Physik, Universität Konstanz, Postfach 5560 M 674, D-78434 Konstanz, Germany Universidad Autönoma de Barcelona, IFAE, Grupo de Física Terica, E-08193 Bellaterra, Barcelona, Spain Instituto de Astronomía y Física del Espacio, Casilla de Correo 67-Sucursal 28, 1428 Buenos Aires, Argentina
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Año: | 1994
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Volumen: | 49
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Número: | 10
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Página de inicio: | 5188
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Página de fin: | 5193
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.49.5188 |
Título revista: | Physical Review D
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ISSN: | 05562821
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v49_n10_p5188_Campanelli |
Referencias:
- Weyl, H., (1921) Raum-Zeit-Materie, , 4th, edition, Springer-Verlag, Berlin
- Kerner, R., (1982) Gen. Relativ. Gravit., 14, p. 453
- Birrell, N.D., Davies, P.C.W., (1982) Quantum Fields in Curved Space, , Cambridge University Press, Cambridge, England
- Stelle, K.S., (1977) Phys. Rev. D, 16, p. 953
- Julve, J., Tonin, M., (1978) Nuovo Cimento B, 46, p. 137
- Sivaram, C., Campanelli, M., (1992) Astrophys. Space Sci., 192, p. 141
- Sivaram, C., Campanelli, M., (1992) Astrophys. Space Sci., 194, p. 239
- Starobinsky, A., (1980) Phys. Lett., 91 B, p. 99
- Zwiebach, B., (1985) Phys. Lett., 156 B, p. 315
- Tseytlin, A., (1986) Phys. Lett. B, 176, p. 92
- Chern, S.S., Geometry of a Quadratic Differential Form (1962) Journal of the Society for Industrial and Applied Mathematics, 10, p. 751
- Misner, C.W., Thorne, K.S., Wheeler, J.A., (1973) Gravitation, , Freeman, San Francisco
- Audretsch, J., Economou, A., Lousto, C.O., (1993) Phys. Rev. D, 47, p. 3303
- Mijić, M.B., Morris, M.S., Suen, W.-M., (1986) Phys. Rev. D, 34, p. 2934
- Barrow, J.D., Ottewill, A.C., (1983) J. Phys. A, 16, p. 2757
- Chimento, L.P., (1990) Class. Quantum Grav., 7, p. 813
- Kibble, T.W.B., (1976) J. Phys. A, 9, p. 1387
- Vilenkin, A., (1981) Phys. Rev. D, 23, p. 852
- Vilenkin, A., (1985) Phys. Rep., 121, p. 263
- Parker, L., (1987) Phys. Rev. Lett., 59, p. 1369
- Lousto, C.O., PARTICLE PRODUCTION BY THE FORMATION OF A GLOBAL MONOPOLE (1991) International Journal of Modern Physics A, 6, p. 3613
- Hiscock, W.A., (1987) Phys. Lett. B, 188, p. 317
- Frolov, V.P., Serebriany, E.M., (1987) Phys. Rev. D, 35, p. 3779
- Mazzitelli, F.D., Lousto, C.O., (1991) Phys. Rev. D, 43, p. 468
- Lousto, C.O., Sánchez, N., Back reaction effects in black hole spacetimes (1988) Physics Letters B, 212, p. 411
- Whitt, B., (1984) Phys. Lett., 145 B, p. 176
- Economou, A., Lousto, C.O., (1994) Phys. Rev. D, 49, p. 5278. , this issue
- Lousto, C.O., ; Mignemi, S., Stewart, N.R., (1993) Phys. Rev. D, 47, p. 5259
- Tominatsu, A., (1988) Prog. Theor. Phys., 79, p. 86
- Visser, M., (1993) Phys. Rev. D, 48, p. 5697
- Wald, R.M., (1993) Phys. Rev. D, 48, p. 3427
Citas:
---------- APA ----------
Campanelli, M., Lousto, C.O. & Audretsch, J.
(1994)
. Perturbative method to solve fourth-order gravity field equations. Physical Review D, 49(10), 5188-5193.
http://dx.doi.org/10.1103/PhysRevD.49.5188---------- CHICAGO ----------
Campanelli, M., Lousto, C.O., Audretsch, J.
"Perturbative method to solve fourth-order gravity field equations"
. Physical Review D 49, no. 10
(1994) : 5188-5193.
http://dx.doi.org/10.1103/PhysRevD.49.5188---------- MLA ----------
Campanelli, M., Lousto, C.O., Audretsch, J.
"Perturbative method to solve fourth-order gravity field equations"
. Physical Review D, vol. 49, no. 10, 1994, pp. 5188-5193.
http://dx.doi.org/10.1103/PhysRevD.49.5188---------- VANCOUVER ----------
Campanelli, M., Lousto, C.O., Audretsch, J. Perturbative method to solve fourth-order gravity field equations. 1994;49(10):5188-5193.
http://dx.doi.org/10.1103/PhysRevD.49.5188