Relationship of gauge gravitation theory in Riemann-Cartan spacetime and general relativity theory

TL;DR

This paper explores a gauge gravitation theory in Riemann-Cartan spacetime, showing it can produce Einstein's equations with an effective cosmological constant, addressing cosmological singularity and dark energy issues.

Contribution

It demonstrates how a specific gauge gravitation theory in Riemann-Cartan spacetime can recover Einstein's equations with a cosmological constant under certain conditions.

Findings

Theory addresses cosmological singularity

Theory offers insights into dark energy

Reduces to Einstein equations with effective cosmological constant

Abstract

The simplest variant of gauge gravitation theory in Riemann-Cartan spacetime leading to the solution of the problem of cosmological singularity and dark energy problem is investigated. It is shown that this theory by certain restrictions on indefinite parameters of gravitational Lagrangian in the case of usual gravitating systems leads to Einstein gravitational equations with effective cosmological constant.