Second Order Perturbation Theory in General Relativity: Taub Charges as Integral Constraints
| Autor: | Emel Altas, Bayram Tekin |
|---|---|
| Přispěvatelé: | Altaş, Emel |
| Rok vydání: | 2019 |
| Předmět: |
Physics
High Energy Physics - Theory 010308 nuclear & particles physics General relativity Nonlinear theory Semiclassical physics FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Mathematical Physics (math-ph) 01 natural sciences General Relativity and Quantum Cosmology symbols.namesake Quantization (physics) Hypersurface Exact solutions in general relativity High Energy Physics - Theory (hep-th) Linearization 0103 physical sciences symbols Einstein 010306 general physics Mathematical Physics Mathematical physics |
| Zdroj: | Physical Review |
| DOI: | 10.48550/arxiv.1903.11982 |
| Popis: | 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. Comment: 15 pages, typos fixed, version to appear in PRD |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|