• Corpus ID: 239885316

Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part I : -- Formulation and odd-mode perturbations

@inproceedings{Nakamura2021GaugeinvariantPT,
  title={Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part I : -- Formulation and odd-mode perturbations},
  author={Kouji Nakamura},
  year={2021}
}
This is the Part I paper of our series of papers on a gauge-invariant linear perturbation theory on the Schwarzschild background spacetime. We first review our general framework of the gauge-invariant perturbation theory, which can be easily extended to the higher-order perturbation theory. After that, we propose the strategy of the gauge-invariant linear perturbation theory on the Schwarzschild spacetime. In the above general framework, the “zero-mode problem” was a remaining important problem… 
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References

SHOWING 1-10 OF 48 REFERENCES
Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part II: -- Even-mode perturbations
This is the Part II paper of our series of papers on a gauge-invariant perturbation theory on the Schwarzschild background spacetime. After reviewing our general framework of the gauge-invariant
Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part III: -- Realization of exact solutions
This is the Part III paper of our series of papers on a gauge-invariant perturbation theory on the Schwarzschild background spacetime. After reviewing our general framework of the gauge-invariant
Second-order Gauge-invariant Cosmological Perturbation Theory: Current Status updated in 2019
The current status of the recent developments of the second-order gauge-invariant cosmological perturbation theory is reviewed. To show the essence of this perturbation theory, we concentrate only on
"Gauge" in General Relativity: Second-order general relativistic gauge-invariant perturbation theory
As in the case of the other gauge field theories, there is so called ``gauge'' also in general relativity. This ``gauge'' is unphysical degree of freedom. There are two kinds of ``gauges'' in general
Gravitational Radiation
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The Mathematical Theory of Black Holes
In a course of lectures on the ‘underlying mathematical structures of classical gravitation theory’ given in 1978, Brandon Carter began with the statement ‘If I had been asked five years ago to
Modern Quantum Mechanics
1. Fundamental Concepts. 2. Quantum Dynamics. 3. Theory of Angular Momentum. 4. Symmetry in Quantum Mechanics. 5. Approximation Methods. 6. Identical Particles. 7. Scattering Theory. Appendices.
The Foundations Of Differential Geometry
TLDR
The the foundations of differential geometry is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Advanced General Relativity
Preface 1. Differential geometry 2. Spinors 3. Asymptopia 4. The characteristic initial value problem Appendices References Index.
JR 旅客販売総合システム(マルス)における運用及び管理について
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