Built on

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1936
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1957
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A. Vainshtein, To the problem of nonvanishing gravitation mass
1972
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B. Ratra and P. J. E. Peebles, Cosmological Consequences of a Rolling Homogeneous Scalar Field
1988
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C. Wetterich, Cosmology and the Fate of Dilatation Symmetry
1988
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J. D. Bekenstein, The Relation between physical and gravitational geometry
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T. Damour and A. M. Polyakov, The String dilaton and a least coupling principle
1994
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B. Bertotti, L. Iess, and P. Tortora, A test of general relativity using radio links with the Cassini spacecraft
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J.-P. Uzan, The Fundamental constants and their variation: Observational status and theoretical motivations
2003
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J. G. Williams, S. G. Turyshev, and D. H. Boggs, Progress in lunar laser ranging tests of relativistic gravity
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J. Khoury and A. Weltman, Chameleon fields: Awaiting surprises for tests of gravity in space
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N. Kaloper, Disformal inflation
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J. Khoury, Les Houches Lectures on Physics Beyond the Standard Model of Cosmology
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S. M. Kopeikin and E. B. Fomalont, Gravitomagnetism and the Lorentz invariance of gravity in the gravitational light-ray deflection experiments
2007
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2018

Gravitational Effects of Disformal Couplings

Brax, Philippe, Davis, Anne-Christine

Understand

We consider how a nearly massless scalar field conformally and disformally coupled to matter can affect the dynamics of gravitationally interacting bodies.

We focus on the case of two interacting objects and we obtain the effective metric driving the dynamics of the two body system when reduced to one body in the centre of mass frame.
We then concentrate on the case of a light particle in the scalar and gravitational fields generated by a heavy object and find the effects of the conformal and disformal couplings on the body's trajectory such as the advance of perihelion and the Shapiro time delay.
The disformal coupling leads to a negligible contribution to the Shapiro effect and therefore no constraint from the Cassini experiment.

Built on

E. J. Copeland, M. Sami, and S. Tsujikawa, Dynamics of dark energy
1936
Earlier work this paper cites.
T. S. Koivisto, Disformal quintessence
Original
1957
Earlier work this paper cites.
A. Vainshtein, To the problem of nonvanishing gravitation mass
1972
Earlier work this paper cites.
B. Ratra and P. J. E. Peebles, Cosmological Consequences of a Rolling Homogeneous Scalar Field
1988
Earlier work this paper cites.
C. Wetterich, Cosmology and the Fate of Dilatation Symmetry
1988
Earlier work this paper cites.
J. D. Bekenstein, The Relation between physical and gravitational geometry
1993
Earlier work this paper cites.
T. Damour and A. M. Polyakov, The String dilaton and a least coupling principle
1994
Earlier work this paper cites.
B. Bertotti, L. Iess, and P. Tortora, A test of general relativity using radio links with the Cassini spacecraft
2003
Earlier work this paper cites.
J.-P. Uzan, The Fundamental constants and their variation: Observational status and theoretical motivations
2003
Earlier work this paper cites.
J. G. Williams, S. G. Turyshev, and D. H. Boggs, Progress in lunar laser ranging tests of relativistic gravity
2004
Earlier work this paper cites.
J. Khoury and A. Weltman, Chameleon fields: Awaiting surprises for tests of gravity in space
2004
Earlier work this paper cites.
N. Kaloper, Disformal inflation
2004
Earlier work this paper cites.
C. Will, The confrontation between general relativity and experiment
2004
Earlier work this paper cites.
J. Khoury, Les Houches Lectures on Physics Beyond the Standard Model of Cosmology
Original
2006
Earlier work this paper cites.
S. M. Kopeikin and E. B. Fomalont, Gravitomagnetism and the Lorentz invariance of gravity in the gravitational light-ray deflection experiments
2007
Earlier work this paper cites.