Gravitational radiation reaction in quasistatic, axially symmetric systems with possibly strong fields

Journal Article · Sat Mar 01 04:00:00 EST 1986 · Gen. Relativ. Gravitation; (United States)

DOI:https://doi.org/10.1007/BF00765885· OSTI ID:5485753

Kates, R E

The leading radiation reaction in quasistatic, axially symmetric systems is calculated by matched asymptotic expansions. Earlier results on inductive transfer of near-zone energy are combined via matching with a wave-zone expansion in the Regge-Wheeler gauge. Two independent measures of the damping are computed: (1) the change of the 1/R coefficient in a Weyl-Levi-Civita type of multipole expansion in the near zone and (2) the change in Bondi energy at future null infinity. When an averaging process is justified, such as in (nearly) periodic systems, both quantities yield a generalized version of the usual quadrupole formula, provided the radiation is outgoing at future null infinity. It is also shown that terms nonanalytic in the slow-motion parameter epsilon make a time-even contribution to the near-zone monople coefficient. The principal advantage of this calculation over previous work is that the sources are permitted to have strong gravitational fields. Moreover, no specific model for the sources is assumed. 21 references.

• Research Organization: Clarkson Univ., Potsdam, NY
• OSTI ID: 5485753
• Journal Information: Gen. Relativ. Gravitation; (United States), Journal Name: Gen. Relativ. Gravitation; (United States) Journal Issue: 3 Vol. 18; ISSN GRGVA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DAMPING
DATA
GRAVITATIONAL FIELDS
GRAVITATIONAL WAVES
INFORMATION
MONOPOLES
MULTIPOLES
NUMERICAL DATA
QUADRUPOLES
REGGE CALCULUS
THEORETICAL DATA
WAVE PROPAGATION