Geodesic motion in Euclidean Schwarzschild geometry

Autor(en)

Emmanuele Battista, Giampiero Esposito

Abstrakt

This paper performs a systematic investigation of geodesic motion in Euclidean Schwarzschild geometry, which is studied in the equatorial plane. The explicit form of geodesic motion is obtained in terms of incomplete elliptic integrals of first, second and third kind. No elliptic-like orbits exist in Euclidean Schwarzschild geometry, unlike the corresponding Lorentzian pattern. Among unbounded orbits, only unbounded first-kind orbits are allowed, unlike general relativity where unbounded second-kind orbits are always allowed.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Napoli, Università degli studi di Napoli Federico II

Journal

European Physical Journal C

Band

82

Anzahl der Seiten

13

ISSN

1434-6044

DOI

https://doi.org/10.1140/epjc/s10052-022-11070-w

Publikationsdatum

12-2022

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik, 103036 Theoretische Physik

ASJC Scopus Sachgebiete

Engineering (miscellaneous), Physics and Astronomy (miscellaneous)

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/cc61af8f-f5b5-4b0e-b0e1-de206ad51237