Rindler Modified Schwarzschild Geodesics

Abstract

The mysterious attractive constant radial force acted in the past on Pioneer spacecrafts - the so-called Pioneer anomaly - is considered within the context of Rindler acceleration. As an idea this is tempting since it is reminiscent of the cosmological constant. Fortunately the anomalous force acts radially toward the sun so that it differs from the mission of a cosmological constant. Without resorting to the physical source responsible for such a term we investigate the modified Schwarzschild geodesics. The Rindler acceleration naturally affects all massive / massless particle orbits. Stable orbits may turn unstable and vice versa with a finely-tuned acceleration parameter. The overall role of the extra term, given its attractive feature is to provide confinement in the radial geodesics.

15 pages, 13 figures

References in corpus (10)

• Support for the thermal origin of the Pioneer anomaly
• Geodesic equation in Schwarzschild--(anti-)de Sitter space--times: Analytical solutions and applications
• Complete analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--times
• Geodesics of electrically and magnetically charged test particles in the Reissner-Nordström space-time: analytical solutions
• Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times
• Model for gravity at large distances
• Analytic treatment of complete and incomplete geodesics in Taub-NUT space-times
• Solar system constraints on Rindler acceleration
• Warped product spaces and geodesic motion in the neighbourhood of hypersurfaces
• Geodesic motion in the neighbourhood of submanifolds embedded in warped product spaces

Cited by in corpus (14)

• Testing General Relativity with stellar orbits around the supermassive black hole in our Galactic center
• Hawking Radiation and Deflection of Light from Rindler Modified Schwarzschild Black Hole
• Spectroscopy of Rindler Modified Schwarzschild Black Hole
• Null paths on a toroidal topological black hole in conformalWeyl gravity
• Evading Derrick's theorem in curved space: Static metastable spherical domain wall
• Structure of geodesics in the regular Hayward black hole space-time
• Massive neutral particles on heterotic string theory
• Leading-order corrections to the thermodynamics of Rindler modified Schwarzschild black hole
• Reconstructing a Model for Gravity at Large Distances from Dark Matter Density Profiles
• Gravitational Rutherford scattering and Keplerian orbits for electrically charged bodies in heterotic string theory
• Particle Collision near 1+1- Dimensional Horava-Lifshitz Black Hole and Naked Singularity
• The geodesics structure of Schwarzschild electromagnetic black hole
• Optical properties of null geodesics emerging from dynamical systems
• Photon paths in the hyperbolic topological black hole spacetime of conformal Weyl gravity