The second post-Newtonian motion in Reissner-Nordström spacetime

Abstract

We derived the second post-Newtonian solution for the quasi-Keplerian motion of a charged test particle in the Reissner-Nordström spacetime under the harmonic coordinates. The solution is formulated in terms of the test particle's orbital energy and angular momentum, both of which are constants at the second post-Newtonian order. The charge effects on the test particle's motion including the orbital period and perihelion precession are displayed explicitly. Our results can be applied to the cases in which the test particle has small charge-to-mass ratio, or the test particle has arbitrary charge-to-mass ratio but the multiplication of the test particle and the gravitational source's charge-to-mass-ratios is much smaller than 1.

arXiv comment13 pages; Accepted for publication in PRD

References in corpus (20)

• Gravitational waves from inspiraling compact binaries: The quadrupole-moment term
• Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits
• Circular motion of neutral test particles in Reissner-Nordström spacetime
• Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
• Post-Newtonian accurate parametric solution to the dynamics of spinning compact binaries in eccentric orbits: The leading order spin-orbit interaction
• Weak and strong deflection gravitational lensings by a charged Horndeski black hole
• Gravitational waves from compact binaries in post-Newtonian accurate hyperbolic orbits
• Strong field gravitational lensing by a charged Galileon black hole
• Solving post-Newtonian accurate Kepler Equation
• Constraining the electric charges of some astronomical bodies in Reissner-Nordstrom spacetimes and generic r^-2-type power-law potentials from orbital motions
• General classification of charged test particle circular orbits in Reissner--Nordström spacetime
• Spin effects in gravitational radiation backreaction III. Compact binaries with two spinning components
• Motion and gravitational wave forms of eccentric compact binaries with orbital-angular-momentum-aligned spins under next-to-leading order in spin-orbit and leading order in spin(1)-spin(2) and spin-squared couplings
• The Kepler equation for inspiralling compact binaries
• Spin effects in gravitational radiation backreaction I. The Lense-Thirring approximation
• Spin effects in gravitational radiation backreaction II. Finite mass effects
• Spin supplementary conditions for spinning compact binaries
• On the equilibrium of a charged massive particle in the field of a Reissner-Nordström black hole
• Spinning compact binary dynamics and chameleon orbits
• Parametric derivation of the observable relativistic periastron advance for binary pulsars