some history based on D Kenneficks work Historical tidbits 1776 Laplace suggests four mechanisms that could explain secular perturbations of MoonEarth orbit One the explanations was a noninstantaneous propagation of gravity affecting the binary system abandoned because its speed ID: 298944
Download Presentation The PPT/PDF document "Gravitational waves" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Gravitational wavessome history
(based on D.
Kennefick’s
work)Slide2
Historical tidbits
1776: Laplace suggests four mechanisms that could explain secular perturbations of Moon-Earth orbit. One the explanations was a non-instantaneous propagation of gravity, affecting the binary system (abandoned because its speed would be too large to be measurable to explain the effect).
1908: Poincare proposes emission of gravitational waves (similar to Maxwell’s EM waves) to explain Mercury’s perihelion anomaly.
Max Abraham
Einstein to
Szhwarzschild
, Feb 1916: “Thus there are no gravitational waves analogous to light waves. This probably is also related to the one-sidedness of the sign of the scalar T”.
Einstein’s paper, 1916: W
eshall
show that these
guv
[the small
perturbative
quatities
] can be calculated in a manner analogous to that of retarded potential in electrodynamics. From this it follows that gravitational fields propagate with the speed of light. Subsequent to this general solution we shall investigate gravitational waves and how they originate.”. He founds some solutions (with longitudinal components) that do not transport energy (coordinate artifacts), and one that does (transverse).
Einstein’s paper, 1918 “On Gravitational Waves”: corrects a actor of 2 mistake in 1916 paper, and derives the “
quadrupole
” formula”.
Eddington
rederived
in 1922 Einstein’s radiation equations without assuming propagation at the speed of light; he discovered that waves with longitudinal component had a coordinate-dependent velocity: [LL and LT waves] “are merely
sinuosities
in the coordinate system, and the only speed of propagation relevant to them is `the speed of thought’”. In the same paper, he
rederived
the
quadrupole
formula, focusing on binary systems (and later rods), and correcting a factor of 2 in Einstein’s paper. Slide3
Historical tidbits
Einstein to Born, 1936: “Together with a young collaborator [Rosen], I arrived at an interesting result that gravitational waves do not exist,..” (Probably because exact GR vacuum solutions with plane waves required unphysical singularities).
A
paper
by Einstein and Rosen in 1936 on
“Do Gravitational Waves
exist?
” [Answer: no] is sent to Physical Review, later withdrawn (protesting the referee report and the refereeing process), and later sent and revised to the Journal of the Franklin Institute, with a different answer.
A key point is whether an exact solution to the non-linear equations without a physical singularity (or one that can be associate with a source) exists. “Einstein-Rosen” waves are an exact solution with cylindrical waves and a singularity at the axis. [This solution had been published by others earlier].
1938: Einstein,
Infeld
and Hoffman develop “post-
newtonian
theory” (EIH method) to study the problem of motion. [The binary system was of particular interest to many].
Using
the EIH formalism
Infeld
and
Scheidegger
(1951)
concluded that the most natural treatment of the scheme,
employing the
standing wave boundary condition, led to a no-radiation-reaction result
. “Back reaction” (damping) terms could be transformed away by coordinate transformations.
Goldberg (1955) proved EIH (slow motion) approach was not appropriate to study back reaction effects. Slide4
Historical tidbits
Bern conference (1955) revitalizes the field, induces
Bondi
to work on the topic. “Energy is non-localizable and
notl
defined in a covariant way” is a key topic.
Chapel Hill conference (1957, attended by Feynman) also discussed gravitational waves, and quantum gravity (and their relationship!). Feynman then presented an argument based on
Pirani’s
earlier talk. Appealing to the equation of geodesic deviation, he argued that a particle lying beside a stick would be rubbed back and forth against the stick by a passing wave, and the friction would generate heat, so that energy would have been extracted from the wave. Furthermore, he felt that any system which could be an absorber of waves, could also be an emitter. For these reasons, he expected gravitational waves to exist.
Throughout the 1960s, Chandrasekhar developed his own slow-motion formalism, dealing with extended fluid bodies (as opposed to point masses) at one post-Newtonian order after another (Chandrasekhar 1965);
rederived
the
quadrupole
formula (to higher orders).
Burke and Thorne also derived the
quadrupole
formula for emission from binary systems (Burke and Thorne 1970).
During the sixties, great progress had been made on many fronts in the description of wave propagation and interaction with matter. Possible astrophysical sources, such as supernovae and binary neutron stars, began to be suggested, inspired at first by Weber’s work (Dyson 1963).33 Some experts were of the opinion that the subject was maturing and furthermore the prospect of some real astrophysical application for gravity waves, seemed to emerge with the discovery of the quasi-stellar (“quasar”) radio sources. Then, to the great surprise of the theoreticians, Weber announced in 1969 that he was detecting gravitational waves.