# 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…

## 2 Citations

Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part II: -- Even-mode perturbations

- Physics
- 2021

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

- Physics
- 2021

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…

## References

SHOWING 1-10 OF 48 REFERENCES

Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part II: -- Even-mode perturbations

- Physics
- 2021

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

- Physics
- 2021

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

- Physics
- 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

- Physics
- 2007

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

- PhysicsNature
- 1958

IN recent years there has been a good deal of controversy about gravitational radiation. Historically, the position is as follows. It was shown quite soon after the publication of the general theory…

The Mathematical Theory of Black Holes

- Geology
- 1983

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

- Physics
- 1986

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

- Education
- 2016

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

- Mathematics
- 1991

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

- Mathematics
- 1991

A dictionary definition of divisible number: a number is divisible by a number so that every digit of that number isdivisible by 3.