Generalization of the Regge-Wheeler equation for self-gravitating matter fields. (English) Zbl 0949.83017
Summary: It is shown that the dynamical evolution of perturbations on a static spacetime extrinsic curvature tensor. The centerpiece of the pulsation equation is a wave contrast to metric formulations, the curvature-based approach to perturbation of the matter fields, including nonabelian gauge fields and perfect fluids. As an example, Abelian gauge fields are explicitly shown to be symmetric.
MSC:
| 83C27 | Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory |
| 52C99 | Discrete geometry |
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
Keywords:
Regge-Wheeler equation; dynamical evolution of perturbations; nonabelian gauge fields; perfect fluidsReferences:
| [1] | P. Anninos, Phys. Rev. D 52 pp 4462– (1995) · doi:10.1103/PhysRevD.52.4462 |
| [2] | R. H. Price, Phys. Rev. Lett. 72 pp 3297– (1994) · Zbl 0973.83532 · doi:10.1103/PhysRevLett.72.3297 |
| [3] | J. L. Friedman, Astrophys. J. 502 pp 714– (1998) · doi:10.1086/305920 |
| [4] | G. Allen, Phys. Rev. D 58 pp 124012– (1998) · doi:10.1103/PhysRevD.58.124012 |
| [5] | M. Choptuik, Phys. Rev. Lett. 70 pp 9– (1993) · doi:10.1103/PhysRevLett.70.9 |
| [6] | J. M. Martin-Garcia, Phys. Rev. D 59 pp 064031– (1999) · doi:10.1103/PhysRevD.59.064031 |
| [7] | O. Brodbeck, Phys. Rev. D 56 pp 6278– (1997) · doi:10.1103/PhysRevD.56.6278 |
| [8] | O. Brodbeck, Phys. Rev. Lett. 79 pp 4310– (1997) · doi:10.1103/PhysRevLett.79.4310 |
| [9] | A. Abrahams, Phys. Rev. Lett. 75 pp 3377– (1995) · Zbl 1020.83503 · doi:10.1103/PhysRevLett.75.3377 |
| [10] | A. Anderson, Phys. Rev. D 58 pp 064015– (1998) · doi:10.1103/PhysRevD.58.064015 |
| [11] | V. Moncrief, Phys. Rev. D 9 pp 2707– (1974) · doi:10.1103/PhysRevD.9.2707 |
| [12] | V. Moncrief, Phys. Rev. D 10 pp 1057– (1974) · doi:10.1103/PhysRevD.10.1057 |
| [13] | V. Moncrief, Phys. Rev. D 12 pp 1526– (1975) · doi:10.1103/PhysRevD.12.1526 |
| [14] | U. H. Gerlach, Phys. Rev. D 19 pp 2268– (1979) · doi:10.1103/PhysRevD.19.2268 |
| [15] | U. H. Gerlach, Phys. Rev. D 22 pp 1300– (1980) · doi:10.1103/PhysRevD.22.1300 |
| [16] | T. Regge, Phys. Rev. 108 pp 1063– (1957) · Zbl 0079.41902 · doi:10.1103/PhysRev.108.1063 |
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