I
is the curvature tensor calculated at . Now we can figure directly, it is not reasonable by coordinate transformation for it is the real curvature. It does not vanish for the transverse-transverse gravity wave but oscillates as the wave goes by. So, on the RHS is sensibly constant, so the equation says the particle vibrates up and down a little (with amplitude proportional to how far it is from on the average, and to the wave amplitude.) Hence it rubs the stick, and generates heat.
I heard the objection that maybe the gravity field makes the stick expand and contract too in such a way that there is no relative motion of particle and stick.
Now the question is whether such a wave can be generated in the first place. First since it is a solution of the equations (approx.) it can probably be made. Second, when I tried to analyze from the field equations just what happens if we drive 4 masses in a quadrupole motion of masses like the figure above would do - even including the stress-energy tensor of the machinery which drives the weights, it was very hard to see how one could avoid having a quadrupole
Table of Contents
1 The Chapel Hill Conference in Context
Dean Rickles
Foreword
Cécile DeWitt
PARTICIPANTS IN THE CONFERENCE
3 The Present Position of Classical Relativity Theory and Some of its Problems
John Wheeler
4 The Experimental Basis of Einstein's Theory
R. H. Dicke
Session II Unquantized General Relativity, Continued
Chairman: P. G. Bergmann
5 On the Integration of the Einstein Equations
André Lichnerowicz
6 Remarks on Global Solutions
C. W. Misner
7 Solving The Initial Value Problem Using Cartan Calculus
Y. Fourès
8 Some Remarks on Cosmological Models
R. W. Bass, L. Witten
Session III Unquantized General Relativity, Continued
Chairman: H. Bondi
9 Gravitational Waves
L. Marder, Presented by H. Bondi
10 Gravitational Field of an Axially Symmetric System
N. Rosen, H. Shamir, Presented by F. Pirani
11 The Dynamics of a Lattice Universe
R. W. Lindquist
12 Measurable Quantities that May Enable Questions of Cosmology to be Answered
Thomas Gold
13 Radio Astronomical Measurements of Interest to Cosmology
A. E. Lilley
Session V Unquantized General Relativity, Concluded
Chairman: A. Lichnerowicz
14 Measurement of Classical Gravitation Fields
Felix Pirani
15 Correspondence in the Generalized Theory of Gravitation
Behram Kursunoglu
16 Presentation of Work by T. Taniuchi
Ryoyu Utiyama
17 Negative Mass in General Relativity
Hermann Bondi
18 The Problems of Quantizing the Gravitational Field
P. G. Bergmann
19 Conceptual Clock Models
H. Salecker
20 The Three-Field Problem
F. J. Belinfante
21 Quantum Gravidynamics
Bryce DeWitt
22 The Possibility of Gravitational Quantization
23 The Necessity of Gravitational Quantization
24 Divergences in Quantized General Relativity
S. Deser
25 Critical Comments
R. P. Feynman
26 Summary of Conference
P. G. Bergmann
27 An Expanded Version of the Remarks by R.P. Feynman on the Reality of Gravitational Waves
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