# Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part III: -- Realization of exact solutions

@inproceedings{Nakamura2021GaugeinvariantPT, title={Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part III: -- Realization of exact solutions}, author={Kouji Nakamura}, year={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 perturbation theory and the proposal on the gauge-invariant treatments for l = 0 , 1 mode perturbations on the Schwarzschild background spacetime in [K. Nakamura, arXiv:2110.13508 [gr-qc]], we examine the problem whether the l = 0 , 1 even-mode solutions derived in the Part II paper [K. Nakamura, arXiv…

## 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 I : -- Formulation and odd-mode perturbations

- Physics
- 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…

## References

SHOWING 1-10 OF 36 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 I : -- Formulation and odd-mode perturbations

- Physics
- 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…

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…

Ann

- Psychology
- 2005

Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed…

Phys

- Rev. 108
- 1957