Stability of spherically symmetric spacetimes in metric f(R) gravity

Journal Article · Mon Sep 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.063511· OSTI ID:21250819

Kainulainen, Kimmo; Sunhede, Daniel ^[1]

---

1. Department of Physics, P.O. Box 35 (YFL), FL-40014 University of Jyvaeskylae, Finland and Helsinki Institute of Physics and Department of Physical Sciences, P.O. Box 64, FI-00014 University of Helsinki (Finland)

We consider stability properties of spherically symmetric spacetimes of stars in metric f(R) gravity. We stress that these not only depend on the particular model, but also on the specific physical configuration. Typically configurations giving the desired {gamma}{sub PPN}{approx_equal}1 are strongly constrained, while those corresponding to {gamma}{sub PPN}{approx_equal}1/2 are less affected. Furthermore, even when the former are found strictly stable in time, the domain of acceptable static spherical solutions typically shrinks to a point in the phase space. Unless a physical reason to prefer such a particular configuration can be found, this poses a naturalness problem for the currently known metric f(R) models for accelerating expansion of the Universe.

• OSTI ID: 21250819
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EXPANSION
GRAVITATION
MATHEMATICAL SOLUTIONS
METRICS
PHASE SPACE
SPACE-TIME
SPHERICAL CONFIGURATION
STABILITY
STARS
STRESSES
SYMMETRY
UNIVERSE