GeomGravX: 10 Years of Geometric Foundations of Gravity and eXtensions (in Tartu)

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification

Not scheduled

20m

A106 (Physicum, University of Tartu)

Oral talk

Speaker

Ujjwal Agarwal (Institute of Theoretical Physics, Charles University)

Description

The complete set of covariant equations that govern the locally rotationally symmetric torsion spacetimes sourced by Weyssenhoff fluid in Einstein-Cartan-Sciama-Kibble gravity is presented. Using these equations, one can explore in detail the peculiar relationship between conformal structure and torsion. A comprehensive scheme to categorize these torsional spacetimes into distinct classes is developed. Further, the properties of each class are explicitly analyzed and novel analytical solutions to the gravitational field equations are obtained.