Hamilton's principle and the Generalized Field Theory : A comparative study

TL;DR

This paper compares the generalized field theory, Møller's tetrad theory, and general relativity by deriving their field equations from an action principle and analyzing their solutions under spherical symmetry.

Contribution

It provides a comparative analysis of three gravitational theories, highlighting differences in their Lagrangians and solutions derived from an action principle.

Findings

Differences in solutions under spherical symmetry are identified.

The Lagrangians of GFT, MTT, and GR are compared.

Discussions interpret the implications of these differences.

Abstract

The field equations of the generalized field theory (GFT) are derived from an action principle. A comparison between (GFT), M\o ller's tetrad theory of gravitation (MTT), and general relativity is carried out regarding the Lagrangian of each theory. The results of solutions of the field equations, of each theory, are compared in case of spherical symmetry. The differences between the results are discussed and interpreted.