Effective apsidal precession from a monopole solution in a Zipoy spacetime
| Autor: | Paola Terezinha Seidel, L. A. Cabral, Abraão J. S. Capistrano |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) Spacetime 010308 nuclear & particles physics Apsidal precession Magnetic monopole lcsh:Astrophysics 01 natural sciences lcsh:QB460-466 0103 physical sciences Metric (mathematics) Physics::Space Physics lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Astrophysics::Earth and Planetary Astrophysics Orbit (control theory) Linear combination 010303 astronomy & astrophysics Engineering (miscellaneous) Schwarzschild radius Legendre polynomials Mathematical physics |
| Zdroj: | European Physical Journal European Physical Journal C: Particles and Fields, Vol 79, Iss 9, Pp 1-8 (2019) |
| Popis: | In this work, we examine the orbit equations originated from Zipoy’s oblate metric. Accordingly, the solution of Einstein’s vacuum equations can be written as a linear combination of Legendre polynomials of positive definite integers l. Starting from the zeroth order $$l=0$$ l=0 , in a nearly newtonian regime, we obtain a non-trivial formula favoring both retrograde and advanced solutions for the apsidal precession, depending on parameters related to the metric coefficients. Using a Chi-squared statistics, we apply the model to the apsidal precessions of Mercury and asteroids (1566 Icarus and 2-Pallas). As a result, we show that the obtained values favor the oblate solution as a more adapted approach as compared to those results produced by Weyl’s cylindric and Schwarzschild solutions. Moreover, it is also shown that the resulting solution converges to the integrable case $$\gamma =1$$ γ=1 in the sense of the Zipoy–Voorhees metric. |
| Databáze: | OpenAIRE |
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