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Article overview
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Non-Metric Gravity II: Spherically Symmetric Solution, Missing Mass and
Redshifts of Quasars | | Kirill Krasnov
; Yuri Shtanov
; | | Date: |
15 May 2007 | | Subject: | General Relativity and Quantum Cosmology (gr-qc); Astrophysics (astro-ph); High Energy Physics - Theory (hep-th) | | Abstract: | We continue the study of the non-metric theory of gravity introduced in
hep-th/0611182 and gr-qc/0703002 and obtain its general spherically symmetric
vacuum solution. It respects the analog of the Birkhoff theorem, i.e., the
vacuum spherically symmetric solution is necessarily static. As in general
relativity, the spherically symmetric solution is seen to describe a black
hole. The exterior geometry is essentially the same as in the Schwarzschild
case, with power-law corrections to the Newtonian potential. The behavior
inside the black-hole region is different from the Schwarzschild case in that
the usual spacetime singularity gets replaced by a singular of a new type,
where all basic fields of the theory remain finite but metric ceases to exist.
The theory does not admit arbitrarily small black holes: for small objects, the
curvature on the would-be horizon is so strong that non-metric modifications
prevent the horizon from being formed. The theory allows for modifications of
gravity of very interesting nature. We discuss three physical effects, namely,
(i) correction to Newton’s law in the neighborhood of the source, (ii)
renormalization of effective gravitational and cosmological constants at large
distances from the source, and (iii) additional redshift factor between spatial
regions of different curvature. The first two effects can be responsible,
respectively, for the observed anomaly in the acceleration of the Pioneer
spacecraft and for the alleged missing mass in spiral galaxies and other
astrophysical objects. The third effect can be used to propose a
non-cosmological explanation of high redshifts of quasars. | | Source: | arXiv, arxiv.0705.2047 | | Services: | Forum | Review | PDF | Favorites | |
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