A Further Generalized Lagrangian Density and Its Special Cases

TL;DR

This paper introduces a more comprehensive Lagrangian density for gravitational systems, extending previous models like general relativity and gauge theories, enabling broader exploration of gravitational phenomena.

Contribution

It presents a new, generalized Lagrangian density that encompasses various existing gravitational theories and explores their special cases.

Findings

Derivation of a unified generalized Lagrangian density

Identification of multiple special cases within the framework

Analysis of the properties and implications of the generalized model

Abstract

By summarizing and extending the Lagrangian densities of the general relativity and the Kibble's gauge theory of gravitation,a further generalized Lagrangian density for a gravitational system is obtained and analyzed in greater detail, which can be used for studying more extensive range of gravitation. Many special cases can be derived from this generalized Lagrangian density, their general characters and peculiarities will be briefly described.