Field Equations and Lagrangian of the Kaluza Energy-Momentum Tensor
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-04
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We provide an analysis and statement of the source term in the classical Kaluza field equations, by considering the 5-dimensional (5D) energy-momentum tensor corresponding to the 5D geodesic hypothesis that is typically presumed in the Kaluza theory.
By providing the 5D matter Lagrangian, this work completes a Lagrangian analysis of the classical Kaluza theory that began by establishing the proper form of the unique Kaluza field Lagrangian.
This work considers the transformation properties necessitated by general covariance of the Kaluza source terms, to establish the correct form for the source terms in the field equations, and to establish the 5D matter Lagrangian that corresponds to the 5D geodesic hypothesis.
In addition to the effects of a scalar field expected from other scalar-tensor or scalar-electromagnetic theories, a peculiar Kaluza coupling coefficient arises for charged matter which acts to vary the source strengths in ways unknown to conventional physics.
We briefly evaluate the implied modifications to source terms in the field equations.
We find an ADM-like neutralization of gravity at high specific charge states and a saturation in field strength at high specific charge-to-mass ratios.
American Psychological Association (APA)
Williams, L. L.. 2020. Field Equations and Lagrangian of the Kaluza Energy-Momentum Tensor. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1127283
Modern Language Association (MLA)
Williams, L. L.. Field Equations and Lagrangian of the Kaluza Energy-Momentum Tensor. Advances in Mathematical Physics No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1127283
American Medical Association (AMA)
Williams, L. L.. Field Equations and Lagrangian of the Kaluza Energy-Momentum Tensor. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1127283
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127283