Gravitational/electromagnetic conversion scattering on fixed charges in the Born approximation

Journal Article · Thu Jan 15 04:00:00 EST 1981 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.23.305· OSTI ID:6660578

Breuer, R A; Rosenbaum, M; Ryan, Jr, M P; Matzner, R A

In the presence of nonzero background electromagnetic and gravitational fields, perturbations in these fields are coupled, via the Einstein-Maxwell equations. We investigate the differential cross section for the conversion scattering of electromagnetic to gravitational radiation (and vice versa) on fixed charged masses. Our procedure uses a Born approximation at the level of accuracy in which the horizon structure of putative black holes is lost; our fixed charges therefore represent charged black holes at this order. We find conversion differential cross sections of the order of Ge/sup 2/ (G is Newton's gravitational constant, e is the value of the charge), with angular polarization factors, and with a forward-divergent behavior proportionalsin/sup -2/(theta/2). The divergence is shown to arise not only in the Born approximation, but to be implicit in the known behavior of the large-angular-momentum phase shifts for the partial-wave spherical modes.

• Research Organization: Centro de Estudios Nucleares, Universidad Nacional Autonoma de Mexico, Mexico
• OSTI ID: 6660578
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 23:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
645202 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BLACK HOLES
BORN APPROXIMATION
CHARGED PARTICLES
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC INTERACTIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
GRAVITATIONAL FIELDS
INTERACTIONS
MAXWELL EQUATIONS
PERTURBATION THEORY
PHASE SHIFT
POLARIZATION
RADIATIONS
SCATTERING