Corpus ID: 119154177

Diamond-Shaped Regions as Microcosmoi

@article{Ribeiro2010DiamondShapedRA,
  title={Diamond-Shaped Regions as Microcosmoi},
  author={P. Ribeiro},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2010}
}
  • P. Ribeiro
  • Published 2010
  • Physics, Mathematics
  • arXiv: General Relativity and Quantum Cosmology
We give a geometrically intrinsic construction of a global time function for relatively compact diamond-shaped regions in arbitrary spacetimes. In the case of Minkowski spacetime, the flow of diffeomorphisms associated to a suitably normalized gradient of this time function becomes the conformal isotropy subgroup of the diamond. In full generality, this time function is elegantly expressed in terms of the Lorentzian distance function, and it has an asymptotic behavior at large absolute times… Expand

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