Higher-order corrections to the laws of motion and precession for black holes and other bodies

Journal Article · Sat Jun 15 04:00:00 EDT 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.3130· OSTI ID:5477827

Zhang, X

In a recent paper, Thorne and Hartle have derived laws of motion and precession for black holes and other bodies. Using two different methods, higher-order corrections to those laws are derived here: a time change of the body's mass-energy due to coupling of the time derivatives of the body's quadrupole moments to the external curvature; a force due to coupling of the time derivatives of the body's quadrupole moments to the external curvature and coupling of the body's quadrupole moments to the gradient of the external curvature; and a torque due to coupling of the body's octopole moments to the gradient of the external curvature.

• Research Organization: Theoretical Astrophysics 130-33, California Institute of Technology, Pasadena, California 91125
• OSTI ID: 5477827
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
CORRECTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
GENERAL RELATIVITY THEORY
MASS
PARTIAL DIFFERENTIAL EQUATIONS
PRECESSION
QUADRUPOLE MOMENTS
SPACE-TIME
UNIVERSE