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:
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