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Second order perturbation theory in general relativity: Taub charges as integral constraints
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10.1103:PhysRevD.99.104078.pdf
Date
2019-05-01
Author
Altas, Emel
Tekin, Bayram
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In a nonlinear theory, such as general relativity, linearized field equations around an exact solution are necessary but not sufficient conditions for linearized solutions. Therefore, the linearized field equations can have some solutions which do not come from the linearization of possible exact solutions. This fact can make the perturbation theory ill defined, which would be a problem both at the classical and semiclassical quantization level. Here we study the first and second order perturbation theory in cosmological Einstein gravity and give the explicit form of the integral constraint, which is called the Taub charge, on the first order solutions for spacetimes with a Killing symmetry and a compact hypersurface without a boundary.
Subject Keywords
Physics and Astronomy (miscellaneous)
URI
https://hdl.handle.net/11511/41335
Journal
PHYSICAL REVIEW D
DOI
https://doi.org/10.1103/physrevd.99.104078
Collections
Department of Physics, Article
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E. Altas and B. Tekin, “Second order perturbation theory in general relativity: Taub charges as integral constraints,”
PHYSICAL REVIEW D
, pp. 0–0, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41335.