Geometrical theories of gravitation with short-range forces
type: Item
instance of: scholarly article
title: Geometrical theories of gravitation with short-range forces
zbMATH Open document ID: 0704.53068
DOI: 10.1007/BF00672030
published in: International Journal of Theoretical Physics
publication date: 1990-01-01T00:00:00Z
review text: The authors review two well-known geometrical theories of gravitation leading to modification of the Newtonian interaction with short-range forces. With a view to compare with general relativity (GR), the authors use a static, spherical symmetric star model with the weak-field limit corresponding to Newtonian definition. Field equations are assumed with the energy-momentum tensor, a combination of matter tensor and auxiliary fields satisfying the covariant conservation law. The authors conclude that neither the scalar-tensor nor the fourth-order theories of gravity agree with the GR, that the binding energy of a gravitating system may be attributed to the loss of energy in packing the matter under its own gravitational field. Finally, the authors suggest that their study may be used to elucidate the dynamical equivalence between Einstein's theory and a class of nonlinear theories of gravitation.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 4155399
zbMATH Keywords: Newtonian theory
zbMATH Keywords: fifth force
zbMATH Keywords: weak fields
zbMATH Keywords: Field equations
zbMATH Keywords: covariant conservation law
author: Daniel E. Barraco
author: Víctor H. Hamity
reviewed by: Krishan Lal Duggal
MaRDI profile type: Publication
Wikidata QID: Q124852045
cites work: Legendre transformation and dynamical structure of higher-derivative gravity
cites work: On quadratic Lagrangians in general relativity
cites work: GENERAL CLASS OF SCALAR-TENSOR THEORIES: A REVIEW
cites work: Q3263435
description: scientific article; zbMATH DE number 4155399