Theories of Space and Time Compatible with the Inertia Principle
E. Caccese, V. A. Cimmelli, A. R. Pace
Abstract
A general formal definition of a theory of space and time compatible with the inertia principle is given. The formal definition of reference frame and inertial equivalence between reference frames are used to construct the class of inertial frames. Then, suitable cocycle relations among the coefficients of space-time transformations between inertial frames are established. The kinematical meaning of coefficients and their reciprocity properties are discussed in some detail. Finally, a rest frame map family is introduced as the most general constitutive assumption to obtain the coefficients and to define a theory of space and time. Four meaningful examples are then presented.
Create a lesson
Related papers
Emergent vacua and stability constraints on black hole solutions in higher-dimensional f(R) gravity
Nicolás Trullols Sandino, Andrei Galiautdinov
Electric and magnetic Penrose processes, charged-particle collisions and superradiance around a Lorentz-violating dyonic black hole
Fernando M. Belchior, Edilberto O. Silva
Conformal Cyclic Cosmology from Varying Fundamental Constants
Konrad Marosek, Adam Balcerzak
Perturbations of black holes with primary hair: time evolutions, quasinormal modes and greybody factors
Georgios Antoniou
Gravitational Lensing of Hayward Black Holes with EFT-Corrected Photon Propagation
Takamasa Kanai
Near-Horizon BMS Symmetry and Implications on Black Hole Entropy
Nihar Ranjan Ghosh, Malay K. Nandy