Non-Inertial Frames in Special and General Relativity

@article{Lusanna2013NonInertialFI,
  title={Non-Inertial Frames in Special and General Relativity},
  author={Luca Lusanna},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2013},
  pages={315-336}
}
  • L. Lusanna
  • Published 16 October 2013
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
A theory of global non-inertial frames in special relativity is developed by taking into account relativistic metrology and by avoiding the coordinate singularities of the rotating disk and of Fermi coordinates. Then this theory is used in general relativity for the treatment of globally hyperbolic, asymptotically Minkowskian space-times solution of Einstein’s equations. Also some comments on the problem of dark matter, connecting it to the relativistic metrology used in astrophysics, are made. 

From Relativistic Mechanics towards Relativistic Statistical Mechanics

Assuming the existence of a relativistic Gibbs ensemble, also a “Lorentz-scalar micro-canonical temperature” can be defined and the notion of equilibrium can be extended from them to the non-inertial rest frames, and it is possible to go to the thermodynamic limit and to define a relatvistic canonical temperature and a relativist canonical ensemble.

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