1995/12/07 by M. Novello, Luciane R. de Freitas, Novello, M. +4
Earth and Planetary Sciences · Physics and Astronomy · #Classical field theory #Classical mechanics #Cosmology and Gravitation Theories #Earth Systems and Cosmic Evolution #Einstein #Equivalence principle (geometric) #FOS: Physical sciences #Feynman diagram #General Relativity and Quantum Cosmology (gr-qc) #General relativity #Gravitation #Gravitational energy #Gravitational field #Gravitational redshift #Gravity Probe A #Mathematical physics #Parameterized post-Newtonian formalism #Physics #Quantum gravity #Quantum mechanics #Relativity and Gravitational Theory #Speed of gravity #Theoretical physics #Universality (dynamical systems) #f(R) gravity #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9512016
published in arXiv (Cornell University) (Cornell University) · 15 pagex, LateX
arxiv created 1995/12/07 · openalex publication_date 1995/12/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We continue here the exam \citeLuMa of a theory of gravity that satisfies the Einstein Equivalence Principle (EEP) for any kind of matter/energy, except for the gravitational energy. This is part of a research program that intends to re-examine the standard Feynman-Deser approach of field theoretical derivation of Einstein\rq s General Relativity. The hypothesis implicit in such precedent derivations \citeFeynman \citeDeser concerns the universality of gravity interaction. Although there is a strong observational basis supporting the universality of matter to gravity interaction, there is not an equivalent situation that supports the hypothesis that gravity interacts with gravity as any other form of non-gravitational energy. We analyse here a kind of gravity-gravity interaction distinct from GR but, as we shall see, that conforms with the actual status of observation. We exhibit the gravitational field produced by a spherically symmetric static configuration as described in this field theory of gravity. The values that we obtain for the standard PPN parameters (α= β= γ= 1) coincide with those of General Relativity. Thus, as we pointed out in a previous paper, the main different aspect of our theory and GR concerns the velocity of the gravitational waves. Since there is a large expectation that the detection of gravitational waves will occur in the near future, the question of which theory describes Nature better will probably be settled soon.