Two and Three parametric regular generalizations of spherically symmetric and axially symmetric metrics

TL;DR

This paper explores new regularized versions of spherically and axially symmetric metrics, analyzing their properties and how they modify Newton's gravity law along null geodesics.

Contribution

It introduces novel regular generalizations of symmetric metrics and examines their implications for Newtonian gravity in relativistic contexts.

Findings

New regular metrics proposed for symmetric spacetimes

Modified Newton gravity law derived for null geodesics

Properties of these generalized metrics analyzed

Abstract

Regular generalizations of spherically and axially symmetric metrics and their properties are considered. Newton gravity law generalizations are reduced for null geodesic.