Geodesic synchrotron radiation

Journal Article · Sat Dec 15 04:00:00 EST 1973 · Phys. Rev., D, v. 8, no. 12, pp. 4309-4319

DOI:https://doi.org/10.1103/PhysRevD.8.4309· OSTI ID:4331437

Breuer, R A; Chrzanowski, P L; Hughes, III, H G; Misner, C W

This paper presents the results and methods of computing the high- frequency radiation emitted by freely falling particles moving in circular geodesic orbits in a spherically symmetric gravitational field. The high- frequency radiation, to which the methods of this paper apply, is the principal part of radiated energy only in the case of a particle moving in a highly relativistic, and therefore unstable, circular geodesic. The geodesic synchrotron radiation emitted in this case shows as main features excitation of high-frequency harmonies and a narrow angular distribution. A Green's-function solution of the scalar wave equation is obtained using WKB methods. For application to relativistic circular orbits a parabolic WKB approximation is required and yields solutions in terms of parabolic cylinder functions. Although only scalar radiation is treated explicitly in this paper, the Green's functions constructed here for the solution of the scalar wave equation also suffice for the vector and tensor calculations. (auth)

• Research Organization: Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-028598
• OSTI ID: 4331437
• Journal Information: Phys. Rev., D, v. 8, no. 12, pp. 4309-4319, Journal Name: Phys. Rev., D, v. 8, no. 12, pp. 4309-4319; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*SYNCHROTRON RADIATION-- GRAVITATIONAL FIELDS
ANGULAR DISTRIBUTION
BLACK HOLES
EINSTEIN FIELD EQUATIONS
GEODESY
GREEN FUNCTION
N56300 --Physics (Astrophysics & Cosmology)--Quasi-stellar
Radio & X-Ray Sources
N76300* --Physics (Theoretical)--Gravitation & General Relativity
SCALAR FIELDS
WKB APPROXIMATION