Topic
Four-force
About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, a generalized Petrov classification is proposed to automatically give the dimensions of the isometry group and its isotropy subgroup, which can be used to obtain a coordinate-invariant description of a geometry.
Abstract: We review the solution to the equivalence problem in general relativity given by Cartan and Brans and present a practically useful method to obtain a coordinate-invariant description of a geometry. The method, which can be seen as a generalized Petrov classification, automatically gives the dimensions of the isometry group and its isotropy subgroup. Finally, we illustrate the method using the Schwarzschild solution as a very simple example.
207 citations
TL;DR: In this paper, the relation between Doubly Special Relativity and quantum gravity, the formal structure of DSR proposal based on Poincar\'e algebra and non-commutative Minkowski space-time, as well us some results and puzzles related to DSR phenomenology.
Abstract: In these notes, based on the lectures given at 40th Winter School on Theoretical Physics, I review some aspects of Doubly Special Relativity (DSR). In particular, I discuss relation between DSR and quantum gravity, the formal structure of DSR proposal based on $\kappa$-Poincar\'e algebra and non-commutative $\kappa$-Minkowski space-time, as well us some results and puzzles related to DSR phenomenology.
207 citations
TL;DR: The notion of observable in general relativity differs profoundly from the corresponding concept in special relativity and in Newtonian physics as discussed by the authors, because the fixation of a frame of reference and gauge transformations are intertwined in a manner not encountered in any other area of physics.
Abstract: The notion of observable in general relativity differs profoundly from the corresponding concept in special relativity and in Newtonian physics. This is because in general relativity fixation of a frame of reference and gauge transformations are intertwined in a manner not encountered in any other area of physics. In other field theories an observable is any (local) component of a field that is gauge-invariant, such as a component of the electric field strength at a stated instant in time and at a given space point. Of course, functions, or functionals of such observables are themselves observables.
203 citations
TL;DR: In this paper, a new general relativity formulated on the Weitzenbock space-time has been proposed, which is invariant under a class of local Lorentz transformations.
Abstract: We make a short comment on our new general relativity formulated on the Weitzenb\"ock space-time. The new general relativity considered here has one free parameter besides the Einstein constant $\ensuremath{\kappa}$. The total action is invariant under a class of local Lorentz transformations, besides being invariant under general coordinate and global Lorentz transformations. The consequences of this "restricted local Lorentz invariance" are studied.
196 citations