Analytical Rayleigh potential for the general relativistic Poynting-Robertson effect

Abstract

We determine the analytic expression of the Rayleigh potential associated to the general relativistic Poynting-Robertson effect. This constitutes the first example of a physical dissipative system treated analytically in General Relativity. The employed approach and further implications are discussed.

4,6 pages, 0 figures, 0 tables. Accepted in Europhysics Letters in date 31 July 2019

References in corpus (3)

• Rayleigh's dissipation function at work
• Canonical quantization of so-called non-Lagrangian systems
• On the action principle for a system of differential equations

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• Three-dimensional general relativistic Poynting-Robertson effect. IV. Slowly rotating and non-spherical quadrupolar massive source