Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-21
JCAP 0907:002,2009
Physics
High Energy Physics
High Energy Physics - Theory
21 pages. Title changed. New section on Newtonian limit
Scientific paper
10.1088/1475-7516/2009/07/002
Theories of gravity invariant under those diffeomorphisms generated by transverse vectors, $\pd_\m\xi^\m=0$ are considered. Such theories are dubbed transverse, and differ from General Relativity in that the determinant of the metric, $g$, is a transverse scalar. We comment on diverse ways in which these models can be constrained using a variety of observations. Generically, an additional scalar degree of freedom mediates the interaction, so the usual constraints on scalar-tensor theories have to be imposed. If the purely gravitational part is Einstein--Hilbert but the matter action is transverse, the models predict that the three {\em a priori} different concepts of mass (gravitational active and gravitational passive as well as inertial) are not equivalent anymore. These transverse deviations from General Relativity are therefore tightly constrained, actually correlated with existing bounds on violations of the equivalence principle, local violations of Newton's third law and/or violation of Local Position Invariance.
Alvarez Enrique
Faedo Antón F.
Lopez-Villarejo J. J.
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