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Gravitational radiation and the ultimate speed in Rosen's bimetric theory of gravity
ANNALS OF
PHYSICS
49ti97
124,
Abstracts Gravitational
Radiation
(1980)
of Papers and the Ultimate
CAVES. W. K. Kellogg California 91125.
Radiation
to Appear Speed in Rosen’s
Laboratory,
in Future Bimetric
California
Issues
Theory
Institute
of Gravity.
CARLTON
of Technology,
M.
Pasadena,
In Rosen’s “bimetric” theory of gravity the (local) speed of gravitational radiation u. is determined by the combined effects of cosmological boundary values and nearby concentrations of matter. It is possible for v. to be less than the speed of light. I show here that emission of gravitational radiation prevents particles of nonzero rest mass from exceeding the speed of gravitational radiation. Observations of relativistic particles place limits on v, and the cosmological boundary values today, and observations of synchrotron radiation from compact radio sources place limits on the cosmological boundary values in the past. Dissipation and Nuclear Dynamics. J. RANDRUP. NORDITA, Blegdamsvej 17, DK-2100 Copenhagen 0, Denmark; AND W. J. SWIATECKI. Nuclear Science Division, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720, and NORDITA, Blegdamsvej 17, DK-2100 Copenhagen 0, Denmark.
One-Body
We discuss recent developments in the “one-body” dissipation theory described by J. Blocki [Ann. Phys. (N. Y.) 113 (1978), 3301. The principal new result is the derivation of the functional form of the dissipation expression (the Rayleigh Dissipation Function) for a finite idealized nucleus with a diffuse surface, in the form of an expansion in powers of the dimensionless ratio of the surface diffuseness to the size, R, of the system. The leading term in such an expansion is a surface contribution, of relative order R2, in the form of the “Wall Formula” of Blocki et al. The next is a curvature correction of order R. At the next level (R;) there are two higher order curvature corrections and a correction for the presence of gradients in the normal velocity field specifying the motion of the surface. For simple models of the nuclear surface profile we work out analytically the coefficients in the curvature and velocity-gradient correction terms. We compare the one-body dissipation theory formulated in this way with recent linear-response and Time-Dependent Hartree-Fock treatments of the nuclear problem. The principal theme that emerges from this study is the close analogy between the problem of the nuclear macroscopic dissipation function and the problem of the nuclear macroscopic potential energy. et al.
Dielectric
Response
of a Relativistic
Degenerate
Electron
Plasma
in a Strong
Field. A. E. Parkville, Victoria,
Magnetic
DELSANTE AND N. E. FRANKEL. School of Physics, University of Melbourne, 3052, Australia.
The longitudinal dielectric response of a relativistic ultradegenerate electron plasma in a strong magnetic field is obtained via a relativistic generalization of the Hartree self-consistent field method. Dispersion relations and damping conditions for plasma oscillations both parallel and perpendicular to the magnetic field are obtained. We also give detailed results for the zero-field case. Applications to white dwarf stars and pulsars are given. Finite
Temperature
Field
Theory
with Boundaries:
Stress
Tensor
and Surface
Action
Renormalisation.
GERARD KENNEDY, RAYMOND CRITCHLEY, AND J. S. DOWKER. Department of Theoretical Physics, The University of Manchester, Manchester Ml3 9PL, United Kingdom. The local stress tensor is calculated for a scalar field at finite temperature in a static spacetime with boundaries. Results exact in the temperature are obtained which in the zero temperature limit
496 Copyright All rights
0 1980 by Academic Press, Inc. of reproduction in any form reserved
PHYSICS
49ti97
124,
Abstracts Gravitational
Radiation
(1980)
of Papers and the Ultimate
CAVES. W. K. Kellogg California 91125.
Radiation
to Appear Speed in Rosen’s
Laboratory,
in Future Bimetric
California
Issues
Theory
Institute
of Gravity.
CARLTON
of Technology,
M.
Pasadena,
In Rosen’s “bimetric” theory of gravity the (local) speed of gravitational radiation u. is determined by the combined effects of cosmological boundary values and nearby concentrations of matter. It is possible for v. to be less than the speed of light. I show here that emission of gravitational radiation prevents particles of nonzero rest mass from exceeding the speed of gravitational radiation. Observations of relativistic particles place limits on v, and the cosmological boundary values today, and observations of synchrotron radiation from compact radio sources place limits on the cosmological boundary values in the past. Dissipation and Nuclear Dynamics. J. RANDRUP. NORDITA, Blegdamsvej 17, DK-2100 Copenhagen 0, Denmark; AND W. J. SWIATECKI. Nuclear Science Division, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720, and NORDITA, Blegdamsvej 17, DK-2100 Copenhagen 0, Denmark.
One-Body
We discuss recent developments in the “one-body” dissipation theory described by J. Blocki [Ann. Phys. (N. Y.) 113 (1978), 3301. The principal new result is the derivation of the functional form of the dissipation expression (the Rayleigh Dissipation Function) for a finite idealized nucleus with a diffuse surface, in the form of an expansion in powers of the dimensionless ratio of the surface diffuseness to the size, R, of the system. The leading term in such an expansion is a surface contribution, of relative order R2, in the form of the “Wall Formula” of Blocki et al. The next is a curvature correction of order R. At the next level (R;) there are two higher order curvature corrections and a correction for the presence of gradients in the normal velocity field specifying the motion of the surface. For simple models of the nuclear surface profile we work out analytically the coefficients in the curvature and velocity-gradient correction terms. We compare the one-body dissipation theory formulated in this way with recent linear-response and Time-Dependent Hartree-Fock treatments of the nuclear problem. The principal theme that emerges from this study is the close analogy between the problem of the nuclear macroscopic dissipation function and the problem of the nuclear macroscopic potential energy. et al.
Dielectric
Response
of a Relativistic
Degenerate
Electron
Plasma
in a Strong
Field. A. E. Parkville, Victoria,
Magnetic
DELSANTE AND N. E. FRANKEL. School of Physics, University of Melbourne, 3052, Australia.
The longitudinal dielectric response of a relativistic ultradegenerate electron plasma in a strong magnetic field is obtained via a relativistic generalization of the Hartree self-consistent field method. Dispersion relations and damping conditions for plasma oscillations both parallel and perpendicular to the magnetic field are obtained. We also give detailed results for the zero-field case. Applications to white dwarf stars and pulsars are given. Finite
Temperature
Field
Theory
with Boundaries:
Stress
Tensor
and Surface
Action
Renormalisation.
GERARD KENNEDY, RAYMOND CRITCHLEY, AND J. S. DOWKER. Department of Theoretical Physics, The University of Manchester, Manchester Ml3 9PL, United Kingdom. The local stress tensor is calculated for a scalar field at finite temperature in a static spacetime with boundaries. Results exact in the temperature are obtained which in the zero temperature limit
496 Copyright All rights
0 1980 by Academic Press, Inc. of reproduction in any form reserved