On the 1/c expansion of f(R) gravity

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.104003· OSTI ID:21413443

Naef, Joachim; Jetzer, Philippe ^[1]

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1. Institut fuer Theoretische Physik, Universitaet Zuerich, Winterthurerstrasse 190, CH-8057 Zuerich (Switzerland)

We derive for applications to isolated systems--on the scale of the Solar System--the first relativistic terms in the 1/c expansion of the space time metric g{sub {mu}{nu}}for metric f(R) gravity theories, where f is assumed to be analytic at R=0. For our purpose it suffices to take into account up to quadratic terms in the expansion of f(R), thus we can approximate f(R)=R+aR{sup 2} with a positive dimensional parameter a. In the nonrelativistic limit, we get an additional Yukawa correction with coupling strength G/3 and Compton wave length {radical}(6a) to the Newtonian potential, which is a known result in the literature. As an application, we derive to the same order the correction to the geodetic precession of a gyroscope in a gravitational field and the precession of binary pulsars. The result of the Gravity Probe B experiment yields the limit a < or approx. 5x10{sup 11} m{sup 2}, whereas for the pulsar B in the PSR J0737-3039 system we get a bound which is about 10{sup 4} times larger. On the other hand the Eoet-Wash experiment provides the best laboratory bound a < or approx. 10{sup -10} m{sup 2}. Although the former bounds from geodesic precession are much larger than the laboratory ones, they are still meaningful in the case some type of chameleon effect is present and thus the effective values could be different at different length scales.

• OSTI ID: 21413443
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 10; Other Information: DOI: 10.1103/PhysRevD.81.104003; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
COUPLING
EXPANSION
GRAVITATION
GRAVITATIONAL FIELDS
GYROSCOPES
PRECESSION
PULSARS
RELATIVISTIC RANGE
SOLAR SYSTEM
SPACE-TIME
WAVELENGTHS
YUKAWA POTENTIAL
CALCULATION METHODS
COSMIC RADIO SOURCES
ENERGY RANGE
NUCLEAR POTENTIAL
POTENTIALS