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

Abstract

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.

arXiv comment9 pages, no figures, version accepted in Phys. Lett. B

References in corpus (21)

• f(R) Theories Of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Kaluza-Klein Gravity
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• The Confrontation between General Relativity and Experiment
• One-loop f(R) gravity in de Sitter universe
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• $D$-Dimensional Gravity from $(D+1)$ Dimensions
• Deciphering Inflation with Gravitational Waves: Cosmic Microwave Background Polarization vs. Direct Detection with Laser Interferometers
• The embedding of the spacetime in five dimensions: an extension of Campbell-Magaard theorem
• Single field inflationary models with non-compact Kaluza-Klein theory
• Inflationary cosmology from STM theory of gravity
• The Structure of the Big Bang from Higher-Dimensional Embeddings
• Dynamically generated embeddings of spacetime
• Noncompact Kaluza-Klein theory and inflationary cosmology: a complete formalism
• Decaying cosmological parameter in the early universe from NKK theory of gravity
• Inflaton field governed universe from NKK theory of gravity: stochastic approach
• Space Time Matter inflation

Cited by in corpus (1)

• General Relativity and Quantum Mechanics in Five Dimensions