Spherically-symmetric gravitational fields in the metric-affine gauge theory of gravitation

TL;DR

This paper explores the geometric structure of spherically symmetric space-times within the metric-affine gauge theory of gravity, deriving restrictions on curvature and providing solutions for vacuum fields.

Contribution

It presents a detailed analysis of spherically symmetric solutions in metric-affine gauge gravity, including restrictions on curvature tensors and explicit vacuum solutions.

Findings

Restrictions on curvature tensor components derived

Bianchi identities applied to the metric-affine context

Explicit vacuum solutions obtained for spherically symmetric fields

Abstract

Geometric structure of spherically-symmetric space-time in metric-affine gauge theory of gravity is studied. Restrictions on curvature tensor and Bianchi identities are obtained. By using certain simple gravitational Lagrangian the solution of gravitational equations for vacuum spherically-symmetric gravitational field is obtained.