Tempa voja^go kaj geodezioj en ^generala relativeco / Time travel and geodesics in general relativity

TL;DR

This paper explores geodesics, including timelike, null, and spacelike paths, in the Som-Raychaudhuri spacetime within general relativity, focusing on phenomena like closed timelike curves and time travel.

Contribution

It provides a detailed analysis of various geodesic types and non-geodetic circular motions, especially closed timelike curves, in the homogeneous Som-Raychaudhuri metric.

Findings

Identification of all three geodesic types in the spacetime

Characterization of closed timelike curves and their implications

Insights into time travel possibilities within this model

Abstract

In the homogeneous metric of Som-Raychaudhuri, in general relativity, we study the three types of geodesics: timelike, null, and spacelike; in particular, the little known geodesics of simultaneities. We also study the non-geodetic circular motion with constant velocity, particularly closed timelike curves, and time travel of a voyager. ------------------- ^Ce la ^Generala Relativeco, en homogena metriko de Som-Raychaudhuri, ni studas geodeziojn de la tri tipoj: tempa, nula, kaj spaca, speciale la malmulte konatajn samtempajn geodeziojn. Ni anka^u studas ne-geodezian cirklan movadon kun konstanta rapido, speciale fermitajn kurbojn de tempa tipo, kaj movadon de voja^ganto al estinto.