# Making the transition from Newton to Einstein: Chandrasekhar’s work on the post-Newtonian approximation and radiation reaction

@article{Schutz1996MakingTT, title={Making the transition from Newton to Einstein: Chandrasekhar’s work on the post-Newtonian approximation and radiation reaction}, author={Bernard F. Schutz}, journal={Journal of Astrophysics and Astronomy}, year={1996}, volume={17}, pages={183-197} }

Chandra first became interested in general relativity in the early 1930s. He had already discovered that white dwarfs had a maximum mass, and Eddington had pointed out that this would imply that stars of a larger mass could collapse to black holes. Eddington thought this idea so abhorrent that he felt forced to dismiss Chandra’s work on white dwarfs; this story is described elsewhere in this volume. But Chandra drew the opposite conclusion. He realised that he would need to understand general…

## One Citation

Gravitational waves from binary black holes

- Physics
- 2011

It is almost a century since Einstein predicted the existence of gravitational waves as one of the consequences of his general theory of relativity. A brief historical overview including…

## References

SHOWING 1-10 OF 40 REFERENCES

Controversies in the History of the Radiation Reaction Problem in General Relativity

- Physics
- 1996

Beginning in the early 1950s, experts in the theory of general relativity debated vigorously
whether the theory predicted the emission of gravitational radiation from binary star
systems. For a…

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…

Newtonian and post-Newtonian approximations are asymptotic to general relativity

- Computer Science
- 1983

It is shown for the first time that the approximations are genuine asymptotic approximation to general relativity, and the results will be applied to radiation reaction in binary star systems, to give a proof of the validity of the ''quadrupole formula'' free from any divergences.

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…

Gravitational radiation and the validity of the far-zone quadrupole formula in the Newtonian limit of general relativity.

- PhysicsPhysical review. D, Particles and fields
- 1985

This paper examines the gravitational radiation emitted by a sequence of spacetimes whose near-zone Newtonian limit is the Minkowskian far-zone limiting manifold FM, and proves that the quadrupole formula is an asymptotic approximation to general relativity.

Gravitational Waves from Inspiralling Compact Binaries: A Post-Newtonian Approach

- Physics
- 1994

Inspiralling binary systems of neutron stars or black holes are promising sources of gravitational radiation detectable by large-scale laser interferometric gravitational observatories, such as the…

THE 2$sup 1$/$sub 2$-POST-NEWTONIAN EQUATIONS OF HYDRODYNAMICS AND RADIATION REACTION IN GENERAL RELATIVITY.

- Physics
- 1970

In this paper the equations of hydrodynamics in the 2½-post-Newtonian approximation to general relativity are derived. In this approximation all terms of O(c-5) are retained consistently with…

The Dynamical Instability of Gaseous Masses Approaching the Schwarzschild Limit in General Relativity.

- Physics
- 1964

ABSTRACT In this paper the theory of the infinitesimal, baryon-number conserving, adiabatic, radial oscillations of a gas sphere is developed in the framework of general relativity. A variational…

Statistical formulation of gravitational radiation reaction

- Physics
- 1980

A new formulation of the radiation-reaction probelm is proposed, which is simpler than alternatives which have been used before. The new approach is based on the initial-value problem, uses…

Classical theory of radiating electrons

- Physics
- 1938

The Lorentz model of the electron as a small sphere charged with electricity, possessing mass on account of the energy of the electric field around it, has proved very valuable in accounting for the…