Fierz-Pauli equation for massive gravitons from Induced Matter theory of gravity

Details Fierz-Pauli equation for massive gravitons from Induced Matter theory of gravity Fierz-Pauli equation for massive gravitons from Induced Matter theory of gravity

2010-08-11

arxiv.org/abs/1008.1958v4

Phys.Lett.B696:183-185,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, no figures, version accepted in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2010.12.054

Starting with a 5D physical vacuum described by a 5D Ricci-flat background metric, we study the emergence of gravitational waves (GW) from the Induce Matter (IM) theory of gravity. We obtain the equation of motion for GW on an 4D curved spacetime which has the form of a Fierz-Pauli one. In our model the mass of gravitons $m_g$ is induced by a static foliation on the noncompact space-like extra dimension and the source-term is originated in the interaction of the GW with the induced connections of the background 5D metric. Here, relies the main difference of this formalism with the original Fierz-Pauli one.

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