On the difference between Poincaré and Lorentz gravity

Abstract

The Poincaré invariance of GR is usually interpreted as Lorentz invariance plus diffeomorphism invariance. In this paper, by introducing the local inertial coordinates (LIC), it is shown that a theory with Lorentz and diffeomorphism invariance is not necessarily Poincaré invariant. Actually, the energy-momentum conservation is violated there. On the other hand, with the help of the LIC, the Poincaré invariance is reinterpreted as an internal symmetry. In this formalism, the conservation law is derived, which has not been sufficiently explored before.

11 pages

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• Thermodynamics and phase transition of charged AdS black holes with a global monopole
• Nonlinear Magnetically Charged Black Holes with Phantom Global Monopoles: Thermodynamics, Geodesics, Quasinormal Modes, and Grey-Body Factors
• Thermodynamic phase transition of a Schwarzschild black hole with global monopole under GUP
• The holographic space-time and black hole remnants as dark matter