Deformations of spacetime metrics

TL;DR

This paper investigates how spacetime metrics can be deformed through generalized conformal transformations and explores the implications of these deformations on equations of motion within the deformed spacetime.

Contribution

It introduces a framework for deforming spacetime metrics via generalized conformal transformations and analyzes their effects on physical equations of motion.

Findings

Deformation of spacetime metrics affects equations of motion.

Generalized conformal transformations provide a new way to study spacetime geometry.

Applications include modified equations of motion in deformed spacetimes.

Abstract

This work is devoted to study the deformation of spacetime metrics as generalized conformal transformations. Some applications are also considered, in particular the equations of motion in deformed spacetime are studied.