Preliminary bounds of the gravitational Local Position Invariance from Solar System planetary precessions

Дата и время публикации : 2013-07-17T07:51:37Z

Авторы публикации и институты :
Lorenzo Iorio

Ссылка на журнал-издание: Mon.Not.Roy.Astron.Soc.437:3482-3489,2014
Коментарии к cтатье: LaTex2e, 9 pages, 2 tables, no figures. Accepted for publication in Monthly Notices of the Royal Astronomical Society (MNRAS)
Первичная категория: gr-qc

Все категории : gr-qc, astro-ph.EP, physics.space-ph

Краткий обзор статьи: In the framework of the Parameterized Post-Newtonian (PPN) formalism, we calculate the long-term Preferred Location (PL) effects, proportional to the Whitehead parameter $xi$, affecting all the Keplerian orbital elements of a localized two-body system, apart from the semimajor axis $a$. They violate the gravitational Local Position Invariance (LPI), fulfilled by General Relativity (GR). We obtain preliminary bounds on $xi$ by using the latest results in the field of the Solar System planetary ephemerides. The non-detection of any anomalous perihelion precession for Mars allows us to indirectly infer $|xi|leq 5.8times 10^{-6}$. textcolor{black}{Such a bound is close to the constraint, of the order of $10^{-6}$, expected from the future BepiColombo mission to Mercury. As a complementary approach, the PL effects should be explicitly included in the dynamical models fitted to planetary data sets to estimate $xi$ in a least-square fashion in a dedicated ephemerides orbit solution.} The ratio of the anomalous perihelion precessions for Venus and Jupiter, determined with the EPM2011 ephemerides at the $<3sigma$ level, if confirmed as genuine physical effects needing explanation by future studies, rules out the hypothesis $xi neq 0$. A critical discussion of the $|xi| lesssim 10^{-6}-10^{-7}$ upper bounds obtained in the literature from the close alignment of the Sun’s spin axis and the total angular momentum of the Solar System is presented.

Category: Physics