The effects of self-interaction on constructing relativistic point particles

DOI10.1007/s10714-017-2324-6zbMath1381.83027arXiv1706.07736OpenAlexW3098539345WikidataQ125919262 ScholiaQ125919262MaRDI QIDQ1699961

Noah Benjamin, Iva Stavrov Allen

Publication date: 26 February 2018

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07736

zbMATH Keywords

interaction energyHamiltonian constraintpoint particleSchwarzschild metricself-interaction

Mathematics Subject Classification ID

Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (1)

Curvature of Space and Time, with an Introduction to Geometric Analysis

Cites Work

• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• Gravitational-Electromagnetic Coupling and the Classical Self-Energy Problem
• Interaction Energy in Geometrostatics
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