Constraining the electric charges of some astronomical bodies in Reissner–Nordström spacetimes and generic r −2-type power-law potentials from orbital motions

2011/12/31 by Lorenzo Iorio · 64 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Charge (physics) #Gamma-ray bursts and supernovae #Mathematical physics #Physics #Power law #Pulsars and Gravitational Waves Research #Quantum mechanics #Type (biology) #gr-qc #hep-ph #physics.space-ph

paper · pdf · doi:10.1007/s10714-012-1365-0

published in General Relativity and Gravitation 44(7), 1753-1767 (Springer Science+Business Media) · LaTex2e, 16 pages, 3 figures, no tables, 128 references. Version matching the one at press in General Relativity and Gravitation (GRG). arXiv admin note: substantial text overlap with arXiv:1112.3517

arxiv created 2012/04/26 · openalex publication_date 2012/05/04 · arxiv updated 2012/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We put model-independent, dynamical constraints on the net electric charge Q of some astronomical and astrophysical objects by assuming that their exterior spacetimes are described by the Reissner-Nordstroem metric, which induces an additional potential U_RN ∝ Q² r^-2. Our results extend to other hypothetical power-law interactions inducing extra-potentials U_pert = r^-2 as well (abridged).

Citations

• A Keplerian Limit to Static Spherical Spacetimes in Curvature Coordinates
• Geodesics of electrically and magnetically charged test particles in the Reissner-Nordström space-time: Analytical solutions
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• Lunar Laser Ranging: A Continuing Legacy of the Apollo Program
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• Tests of General Relativity from Timing the Double Pulsar
• Bound orbits of solar sails and general relativity
• Relativistic charged spheres: II. Regularity and stability
• Gravitational lensing by naked singularities
• Time Delay in Black Hole Gravitational Lensing as a Distance Estimator
• Prehistory of the ’’Runge–Lenz’’ vector
• Rotochemical Heating of Neutron Stars: Rigorous Formalism with Electrostatic Potential Perturbations
• Über die Eigengravitation des elektrischen Feldes nach der Einsteinschen Theorie
• The INPOP10a planetary ephemeris and its applications in fundamental physics
• Measuring Distance and Properties of the Milky Way’s Central Supermassive Black Hole with Stellar Orbits
• Strong Field Limit of Black Hole Gravitational Lensing
• Gravitational lensing in the strong field limit
• Relativity parameters determined from lunar laser ranging
• More on the prehistory of the Laplace or Runge–Lenz vector
• Schwarzschild black hole lensing
• Stationary Black Holes: Uniqueness and Beyond

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