Gravitomagnetic effects in conformal gravity

Abstract

Gravitomagnetic effects are characterized by two phenomena: first, the geodetic effect which describes the precession of the spin of a gyroscope in a free orbit around a massive object, second, the Lense-Thirring effect which describes the precession of the orbital plane about a rotating source mass. We calculate both these effects in the fourth-order theory of conformal Weyl gravity for the test case of circular orbits. We show that for the geodetic effect a linear term arises which may be interesting for high radial orbits, whereas for the Lense-Thirring effect the additional term has a diminishing effect for most orbits. Circular orbits are also considered in general leading up to a generalization of Kepler's third law.

8 pages

References in corpus (5)

• Impact of a global quadratic potential on galactic rotation curves
• Conformal Weyl gravity and perihelion precession
• Spontaneous breaking of conformal invariance in theories of conformally coupled matter and Weyl gravity
• Charged Cylindrical Black Holes in Conformal Gravity
• Spontaneous breaking of conformal invariance, solitons and gravitational waves in theories of conformally invariant gravitation

Cited by in corpus (10)

• Null paths on a toroidal topological black hole in conformalWeyl gravity
• Kerr Metric, Geodesic Motion, and Flyby Anomaly in Fourth-Order Conformal Gravity
• Motion of massive particles around a charged Weyl black hole and the geodetic precession of orbiting gyroscopes
• Spacetime, Spin and Gravity Probe B
• Geodetic precession and shadow of quantum extended black holes
• A Critical Assessment of Black Hole Solutions With a Linear Term in Their Redshift Function
• Focusing of world-lines in Weyl gravity
• Stability of Schwarzschild (Anti)de Sitter black holes in Conformal Gravity
• Gravitomagnetic effects in quadratic gravity with a scalar field
• Hawking radiation from nonrotating singularity-free black holes in conformal gravity