Theories of Space and Time Compatible with the Inertia Principle
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 spacetime 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.
 Publication:

arXiv eprints
 Pub Date:
 March 1999
 arXiv:
 arXiv:grqc/9903065
 Bibcode:
 1999gr.qc.....3065C
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 26 pages, Plain TeX, no figures