On a Schwarzschild like metric

TL;DR

This paper discusses a Schwarzschild-like metric discovered in the 1960s, derived using Sommerfeld's relativistic energy conservation principle, offering a potential alternative perspective in General Relativity.

Contribution

It highlights a lesser-known Schwarzschild-like metric derived through a novel application of relativistic energy conservation, expanding the set of solutions in General Relativity.

Findings

Identification of a Schwarzschild-like metric from the 1960s

Use of Sommerfeld's reasoning with relativistic energy laws

Potential implications for alternative gravitational solutions

Abstract

In this short Note we would like to bring into the attention of people working in General Relativity a Schwarzschild like metric found by Professor Cleopatra Mociu\c{t}chi in sixties. It was obtained by the A. Sommerfeld reasoning from his treatise "Elektrodynamik" but using instead of the energy conserving law from the classical Physics, the relativistic energy conserving law.