DE FALCO, Vittorio. New approaches to the general relativistic poynting-robertson effect. Emerging Science Journal. 2020, vol. 4, No 3, p. 214-227. ISSN 2610-9182. Available from: https://dx.doi.org/10.28991/esj-2020-01225.
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Basic information
Original name New approaches to the general relativistic poynting-robertson effect
Authors DE FALCO, Vittorio (380 Italy, guarantor, belonging to the institution).
Edition Emerging Science Journal, 2020, 2610-9182.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher Italy
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19630/20:A0000095
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.28991/esj-2020-01225
Keywords in English Poynting-Robertson Effect; Radiation Processes in High-energy Astrophysics; Theoretical Physics
Tags FÚ, FÚ2020, RIV21
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 26/4/2022 17:47.
Abstract
Objectives: A systematic study on the general relativistic Poynting-Robertson effect has been developed so far by introducing different complementary approaches, which can be mainly divided in two kinds: (1) improving the theoretical assessments and model in its simple aspects, and (2) extracting mathematical and physical information from such system with the aim to extend methods or results to other similar physical systems of analogue structure. Methods/Analysis: We use these theoretical approaches: relativity of observer splitting formalism; Lagrangian formalism and Rayleigh potential with a new integration method; Lyapunov theory os stability. Findings: We determined the three-dimensional formulation of the general relativistic Poynting-Robertson effect model. We determine the analytical form of the Rayleigh potential and discuss its implications. We prove that the critical hypersurfaces (regions where there is a balance between gravitational and radiation forces) are stable configurations. Novelty/Improvement: Our new contributions are: to have introduced the three-dimensional description; to have determined the general relativistic Rayleigh potential for the first time in the General Relativity literature; to have provided an alternative, general and more elegant proof of the stability of the critical hypersurfaces.
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