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Four-force
About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.
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TL;DR: In this article, an approximate method for solving the field equations of general relativity, the equations of motion of a perfect fluid undergoing a rigid motion, and the boundary condition $p=0$ is described and the first-order solution for the first two sets of equations is obtained.
Abstract: Rigid motions of collections of particles as defined by Born, Herglotz, and Noether are studied in special and general relativity. An approximate method for solving the field equations of general relativity, the equations of motion of a perfect fluid undergoing a rigid motion, and the boundary condition $p=0$ is described and the first-order solution for the first two sets of equations is obtained. It is shown that in the classical limit the boundary conditions may be satisfied to this order.
59 citations
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59 citations
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59 citations
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TL;DR: Using the theorem of Poincare-Hopf, the authors proved the uniqueness of the center-of-mass line in Dixon's theory of the dynamics of extended bodies in metric theories of gravity.
Abstract: Using the theorem of Poincare-Hopf we prove the uniqueness of the center-of-mass line (its existence has been shown in a different paper, see [2]) in Dixon's theory of the dynamics of extended bodies in metric theories of gravity.
58 citations
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TL;DR: In this paper, the principle of Relativity in Relation to General Physical Theory is discussed in the context of the electron theory of matter and the transition from physics to mechanical theory.
Abstract: Part I. The Principle of Relativity in Relation to General Physical Theory: 1. The relativity of Newtonian dynamics 2. The development of the concept of the aether 3. The electron theory 4. Correlation of stationary and moving systems 5. Einstein on the relativity of space and time 6. The kinematics of Einstein 7. The electron theory of matter Part II. Minkowski's Four-Dimension World: 8. Minowski's four-dimension calculus 9. The field equations of the electron theory in Minkowski's form 10. Minkowski's electrodynamics of moving bodies Part III. The Transition to Mechanical Theory: 11. The dynamics of the electron 12. Relativity and dynamical theory 13. The dynamics of a particle 14. The dynamics of continuous material media 15. Relativity and objective aether 16. Relativity and probability 17. Concluding remarks Index.
58 citations