期刊
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
卷 54, 期 6, 页码 1818-1829出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-014-2387-z
关键词
Alternative gravity; Spherical symmetry; Lorentz symmetry breaking
资金
- INFN
We discuss spherically symmetric solutions for point-like sources in Lorentz-breaking massive gravity theories. This analysis is valid for Stuckelberg's effective field theory formulation, for Lorentz Breaking Massive Bigravity and general extensions of gravity leading to an extra term -S r (gamma) added to the Newtonian potential. The approach consists in analyzing the stability of the geodesic equations, at the first order (deviation equation). The main result is a strong constrain in the space of parameters of the theories. This motivates higher order analysis of geodesic perturbations in order to understand if a class of spherically symmetric Lorentz-breaking massive gravity solutions, for self-gravitating systems, exists. Stable and phenomenologically acceptable solutions are discussed in the no-trivial case S not equal 0.
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