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

Iorio, Lorenzo

doi:10.1007/s10714-012-1365-0

Cited by 53 publications

(29 citation statements)

References 117 publications

(122 reference statements)

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“…For comparison, one mole of 12 C contains 6N A protons, whose total charge is 6 × 10 5 C. The total negative charge of the Earth at its surface is estimated to be (4 − 5.7) × 10 5 C [29]. In absolute value, the solar charge is less than (0.4 − 1) × 10 18 C [30].…”

Section: E Global Stellar Parametersmentioning

confidence: 99%

Hydrostatic equilibrium of stars without electroneutrality constraint

2018

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The general solution of hydrostatic equilibrium equations for a two-component fluid of ions and electrons without a local electroneutrality constraint is found in the framework of Newtonian gravity theory. In agreement with the Poincaré theorem on analyticity and in the context of Dyson's argument, the general solution is demonstrated to possess a fixed (essential) singularity in the gravitational constant G at G = 0. The regular component of the general solution can be determined by perturbation theory in G starting from a locally neutral solution. The non-perturbative component obtained using the method of Wentzel, Kramers and Brillouin is exponentially small in the inner layers of the star and grows rapidly in the outward direction. Near the surface of the star, both components are comparable in magnitude, and their non-linear interplay determines the properties of an electro-or ionosphere. The stellar charge varies within the limits of −0.1 to 150 C per solar mass. The properties of electro-and ionospheres are exponentially sensitive to variations of the fluid densities in the central regions of the star. The general solutions of two exactly solvable stellar models without a local electroneutrality constraint are also presented.

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Section: E Global Stellar Parametersmentioning

confidence: 99%

Hydrostatic equilibrium of stars without electroneutrality constraint

2018

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“…Our aim is to study the dynamics of a few-body celestial system considering the gravitational field of a charged, non-rotating, spherically symmetric body of mass M, also known as Reissner-Nordström metric, that is, a Manev potential with positive e. Such kind of potentials are relevant in astronomical and astrophysical context when the big body, like a star, owns a net electric charges. See the introduction in Iorio (2012) and the references therein for more details.…”

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confidence: 99%

Spatial collinear restricted four-body problem with repulsive Manev potential

Barrabés

Cors

Vidal

2017

Celest Mech Dyn Astr

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The final publication is available at Springer via http://dx.doi.org/10.1007/s10569-017-9771-yWe outline some aspects of the dynamics of an infinitesimal mass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (-1/r+e/r2-1/r+e/r2), e>0e>0, is applied to the central mass. We investigate the relative equilibria of the infinitesimal mass and their linear stability as a function of the mass parameter ßß, the ratio of mass of the central body to the mass of one of two remaining bodies, and e. We also prove the nonexistence of binary collisions between the central body and the infinitesimal mass.Peer ReviewedPostprint (published version

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“…Using Reissner–Nordström solution in the place of Schwarzschild solution, it is possible to take under consideration an electric charge of the Sun and a planet (see Ref. ). However, it would be necessary to consider charged bodies in astrophysics and electrostatic interactions which are stronger than gravitational ones.…”

Section: A Perihelion Shift and A Distortion Of Elliptic Orbitsmentioning

confidence: 99%

Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory

Kalinowski

2015

Fortschritte der Physik

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The Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory leads to a model of a modified acceleration that can fit an anomalous acceleration experienced by the Pioneer 10 and 11 spacecraft. The future positions of those spacecrafts are predicted using distorted hyperbolic orbit. A connection between an anomalous acceleration and a Hubble constant is solved in the theory together with a relation to a cosmological constant in CDMΛ model. In the paper we consider an exact solution of a point mass motion in the Solar System under an influence of an anomalous acceleration. We find two types of orbits: periodic and chaotic. Both orbits are bounded. This means there is no possibility to escape from the Solar System. Some possibilities to avoid this conclusion are considered. We resolve also a coincidence between an anomalous acceleration and the cosmological constant using a paradigm of modern cosmology. Relativistic effects and a cosmological drifting of a gravitational constant are considered. The model of an anomalous acceleration does not cause any contradiction with Solar System observations. We give a full statistical analysis of the model. We consider also a full formalism of the Nonsymmetric Jordan–Thiry Theory for the problem and present a relativistic model of an anomalous acceleration. We consider the model for General Relativity approximation, i.e. gμν≠ημν (gμν=gνμ). In this model there are no contradictions with General Relativity tests in the Solar System. Pioneer 10/11 spacecrafts will come back in 106 years (a time scale of our periodic solutions is 106 years). Moreover, almost relativistic or relativistic spacecrafts can escape from the Solar System. We consider also a model of a relativistic acceleration which is more complicated, with gμν≠gνμ taken into account.

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

Cited by 53 publications

References 117 publications

Hydrostatic equilibrium of stars without electroneutrality constraint

Hydrostatic equilibrium of stars without electroneutrality constraint

Spatial collinear restricted four-body problem with repulsive Manev potential

Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory

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