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On Global Hyperbolicity of Spacetimes: Some Recent Advances and Open Problems

In: Mathematical Analysis in Interdisciplinary Research

Author

Listed:
  • Felix Finster

    (Universität Regensburg)

  • Albert Much

    (Universität Leipzig)

  • Kyriakos Papadopoulos

    (Kuwait University)

Abstract

This chapter is an up-to-date account of results on globally hyperbolic spacetimes and serves as a multitool; we start the exposition of results from a foundational level, where the main tools are order-theory and general topology, we continue with results of a more geometric nature, and we finally reach results that are connected to the most recent advances in theoretical physics. In each case, we list a number of open questions and we finally introduce a conjecture, on sliced spaces.

Suggested Citation

  • Felix Finster & Albert Much & Kyriakos Papadopoulos, 2021. "On Global Hyperbolicity of Spacetimes: Some Recent Advances and Open Problems," Springer Optimization and Its Applications, in: Ioannis N. Parasidis & Efthimios Providas & Themistocles M. Rassias (ed.), Mathematical Analysis in Interdisciplinary Research, pages 281-295, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-84721-0_15
    DOI: 10.1007/978-3-030-84721-0_15
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