J 2020

New approaches to the general relativistic poynting-robertson effect

DE FALCO, Vittorio

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10308 Astronomy

Country of publisher

Italy

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

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

, FÚ2020, RIV21

Tags

International impact, Reviewed
Změněno: 26/4/2022 17:47, Mgr. Pavlína Jalůvková

Abstract

V originále

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.
Displayed: 24/12/2024 04:00