Gravitational Perturbation Theory and Synchrotron Radiation
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OF CONTENTS
Page LISTS
I.
II.
OF F I G U R E S
Gravity
Experiments.
Wave
FOCUSSING
MECHANISMS
RELATIVISTIC
Lens
Focussing.
rotating
Observers.
ORDINARY
SYNCHROTRON
Spacetime.
in t h e
in the K e r r
Scalar
The
Penrose
dependent
Metric
Naked
non-
Theory
General
& Penrose.
Perturbations
....................... Radiation
Theory
The
Perturbation
Held
16
Spacetime.
30
in F l a t Synchrotron
..........................
and Point
Perturbation
Formalism.
of Geroch,
11
Discussion.
linearized
of P e r t u r b a t i o n s .
Regge-Wheeler
.....
Locally
& Gravitational
Spacetime.
Introduction.
turbations.
Spacetime.
Synchrotron
Electromagnetic in F l a t
Gauge
Focussing.
Schwarzschild
RADIATION
OF SPACETIMES
finition
RADIATION
Discussion.
PERTURBATIONS
Point
Summary.
...............................
Geodesics
Geodesics
Radiation
Disk
V
Discussion.
Circular
Introduction.
Motivation.
FOR GRAVITATIONAL
GEODESICS
Introduction.
V.
..........................
.........................................
Singularities.
IV.
TABLES
INTRODUCTION
Introduction.
III.
AND
of G r a v i t y .
Linearization Gauge and
De-
Procedure.
independent
Per-
Regge-Calculus.
Technique.
The Newman-
Relativity
in the F o r m a l i s m
Tetrad
Revised.
Gauge
Transformations.
45
IV
VI.
DECOUPLED
SEPARATED
&
EQUATIONS
.........
Introduction.
The D e c o u p l i n g
of the P e r t u r b a t i o n
tions.
Perturbations.
Electromagnetic
Scalar
bations.
Gravitational
Equations.
Coordinate
GHP Operators. teness
Perturbations. Systems,
Separation
Function
Spheroidal
Solution.
Harmonics.
Spin-Weighted Expansion
Boundary
Spheroidal
POLARIZATION
&
Radial
Spherical
Expansion
&
of
High Frequency
Spheroidal
Harmonics.
......................................... Stokes
Jones Vector.
Electromagnetic
Gravitational
Stokes
Transfer
Parameters
Master
Comple-
Conditions.
Spin-Weighted
Introduction.
Radiative
Equation.
Harmonics.
of S p i n - W e i g h t e d
Pertur-
Decoupled
Low F r e q u e n c y
Parameters,
Poincar6
Stokes
Parameters.
for the Most General
117
Sphere,
Parameters.
The E q u a t i o n
for P o l a r i z e d
77
Equa-
Spin-Coefficients
of M a s t e r
of E i g e n f u n c t i o n s .
Green's
Vll.
PERTURBATION
Radiation. Metric
of
Stokes
Theory
of
Gravity.
VIII.
GEODESIC
SYNCHROTRON
Introduction.
Scalar
High F r e q u e n c y
IX.
Master Power
of
sU(r)
Electromagnetic
Gravitational
DISCUSSIONS
.......................
GSR in the S c h w a r z s c h i l d
Approximation
in the Kerr Geometry. Geometry.
RADIATION
and
Geometry. sS(~/2,0)
GSR in the Kerr
GSR in the Kerr Geometry.
..........................................
Formula
for Power
Spectra. L i m i t a t i o n s
Open Questions
ACKNOWLEDGMENTS
139
Spectra.
Spin D e p e n d e n c e
of Test P a r t i c l e
in G r a v i t a t i o n a l
Radiation
GSR.
171
of Some
Theory.
......................................
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