中文

A Solar System Test of Mach's Principle with Gravimetric Data

广义相对论与量子宇宙学 2007-05-23 v1 天体物理学

摘要

We present a new test for a possible Mach-Sciama dependence of the Gravitational constant G. According to Ernst Mach (1838-1916), the gravitational interaction depends on the distribution of masses in the universe. A corresponding hypothesis of Sciama (1953) on the gravitational constant, c2/G=mi/ric^2/G = \sum m_i/r_i, can be tested since the elliptic earth orbit should then cause minute annual variations in G. The test is performed by analyzing the gravity signals of a network of superconducting gravimeters (SG) which reach a precision of 1010m/s210^{-10} m/s^2. After reducing the signal by modelling tidal, meteorologic and geophysical effects, no significant evidence for the above dependence is found.

引用

@article{arxiv.gr-qc/0610028,
  title  = {A Solar System Test of Mach's Principle with Gravimetric Data},
  author = {Alexander Unzicker and Karl Fabian},
  journal= {arXiv preprint arXiv:gr-qc/0610028},
  year   = {2007}
}

备注

8 pages, figures separate. To include figures, run pdflatex as described in the source. Paper with figures included can be obtained from http://www.alexander-unzicker.de/research.html