Gravity Equivalent to Teleparallelism: Some Basic Geometrical Aspects (2405.20546v1)

Abstract: We review the book of Ruben Aldrovandi and Jose Geraldo Pereira about Teleparallel Gravity. Teleparallel Gravity is an alternative to General Relativity to describe the gravitational interaction. The difference between General Relativity and Teleparallel Gravity is the fact that General Relativity associates the curvature to the gravitational interaction, whereas in the Teleparallel Gravity the mathematical object associated to gravitational field is the torsion, whose field is the so called Weintzenb\"ock connection. We discuss briefly the advantages of Teleparallel Gravity over General Relativity as well as Weintzenb\"ock connection properties.