https://doi.org/10.1140/epjc/s10052-024-12751-4
Regular Article - Theoretical Physics
Constructing massive particles surfaces in static spacetimes
1
Moldova State University, strada Alexei Mateevici 60, 2009, Chişinău, Moldova
2
Faculty of Physics, Moscow State University, 119899, Moscow, Russia
Received:
2
March
2024
Accepted:
2
April
2024
Published online:
11
April
2024
Massive particle surface is a generalization of the photon surface, both of which translate the dynamical properties of geodesics orbiting the gravitating object onto the geometric description. The procedure for constructing the massive particle surfaces in static space-times is described in detail and the equivalence of the main results with the results of the geodesic approach is demonstrated for the following examples: Schwarzschild, Reissner–Nordström, dilatonic black holes, conformal gravity, and Culetu model.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.