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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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32 citations
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TL;DR: In this paper, the conditions for thermal equilibrium given in [Class. Quantum Grav. 30 115018 (2013)] are outlined, and it is also clarified that the condition for the equivalence between thermodynamic and dynamical stability of static spherically symmetric perfect fluids in General Relativity was referring to the canonical ensemble.
Abstract: The conditions for thermal equilibrium given in [Class. Quantum Grav. 30 115018 (2013)] are outlined. It is also clarified that the condition for the equivalence between thermodynamic and dynamical stability of static spherically symmetric perfect fluids in General Relativity was referring to the canonical ensemble. Cases for which stability equivalence holds are specified.
32 citations
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TL;DR: In this paper, a study of conformal transformations of a Riemannian V$_4$ is made within the framework of the Penrose spinor formalism, and necessary and sufficient conditions are established for a space to be conformal to a space in which the conform tensor is divergence-free.
Abstract: A study of conformal transformations of a Riemannian V$_4$ is made within the framework of the Penrose spinor formalism. In particular the conformal properties of a whole hierarchy of spaces occurring in general relativity are considered, and necessary and sufficient conditions are established for a space to be conformal (a) to a space in which the conform tensor is divergence-free, (b) to an empty space, (c) to an Einstein space. The case of Petrov type N has to be treated separately.
32 citations
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TL;DR: In this article, a gauge invariant lattice formulation of general relativity was given, and the lattice spacing provided an Sp(4) invariant ultraviolet cutoff for the quantum theory.
32 citations
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TL;DR: In this paper, a simple and deep standard mathematical theorem asserts the existence, for any one-parameter differentiable group, of an additive parameter, such as the angle for rotations and the rapidity parameter for Lorentz transformations.
Abstract: A simple and deep standard mathematical theorem asserts the existence, for any one‐parameter differentiable group, of an additive parameter, such as the angle for rotations and the rapidity parameter for Lorentz transformations. The importance of this theorem for the applications of group theory in physics is stressed, and an elementary proof is given. The theorem then is applied to the construction from first principles of possible relativity groups.
32 citations