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Vatandoost, Mehdi, Pourkhandani, Rahimeh. (1401). On pseudoconvexity conditions and static spacetimes. سامانه مدیریت نشریات علمی, 3(1), 42-48. doi: 10.22098/jfga.2022.10526.1064
Mehdi Vatandoost; Rahimeh Pourkhandani. "On pseudoconvexity conditions and static spacetimes". سامانه مدیریت نشریات علمی, 3, 1, 1401, 42-48. doi: 10.22098/jfga.2022.10526.1064
Vatandoost, Mehdi, Pourkhandani, Rahimeh. (1401). 'On pseudoconvexity conditions and static spacetimes', سامانه مدیریت نشریات علمی, 3(1), pp. 42-48. doi: 10.22098/jfga.2022.10526.1064
Vatandoost, Mehdi, Pourkhandani, Rahimeh. On pseudoconvexity conditions and static spacetimes. سامانه مدیریت نشریات علمی, 1401; 3(1): 42-48. doi: 10.22098/jfga.2022.10526.1064

On pseudoconvexity conditions and static spacetimes

Journal of Finsler Geometry and its Applications
مقاله 4، دوره 3، شماره 1، مهر 2022، صفحه 42-48    اصل مقاله (70.92 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2022.10526.1064
نویسندگان
Mehdi Vatandoost* 1؛ Rahimeh Pourkhandani2
1Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
2Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
چکیده
Recently, the relationship between (geodesics) convexity, connectedness, and completeness properties in Riemannian manifolds (∑; h) and the causal properties in Lorentzian static spacetimes (M; g) = (R × ∑; -dt2 + h) is studied. In this paper, some sufficient conditions are introduced to (∑; h) be geodesically convex.
کلیدواژه‌ها
spacetimes؛ causal structure؛ pseudoconvexity؛ convexity
مراجع
  • 1. A. Bautista, A. Ibort, J. Lafuente, and R. Low, A conformal boundary for space-times
    based on light- like geodesics: The 3-dimensional case, J. Math. Phys. 58(2017), 022503.
  • 2. J. K. Beem and P.E. Parker, Klein–Gordon solvability and the geometry of geodesics,
    Pacific J. Math. 107(1983), 1–14.
  • 3. J. K. Beem, and P. E. Parker, Pseudoconvexity and general relativity, J. Geom. Phys.
    4(1987), 71–80.
  • 4. J. K. Beem and P. E. Parker, Pseudoconvexity and geodesic connectedness, Ann. Mat.
    Pura Appl. 155(1989), 137–142.
  • 5. J. K. Beem and A. Krolak, Cosmic censorship and pseudoconvexity, J. Math. Phys.,
    33(1992), 2249–2253.
  • 6. J. K. Beem, P. E. Ehrlich, and K. L. Easley, Global Lorentzian Geometry, Marcel Dekker,
    New York, 1996.
  • 7. J. Hedicke, E. Minguzzi, B. Schinnerl, R. Steinbauer, and S. Suhr, Causal simplicity and
    (maximal) null pseudoconvexity, Class. Quantum Grav. 38(2021), 227002 .
  • 8. R. J. Low, The geometry of the space of null geodesics, J. Math. Phys. 30(1989), 809–811.
  • 9. R. J. Low, Spaces of causal paths and naked singularities, Class. Quantum Grav 7(1990),
    943–954.
  • 10. E. Minguzzi, Lorentzian causality theory, Living Reviews in Relativity, 22(1):3(2019).
  • 11. R. Pourkhandani and Y. Bahrampour, The space of causal curves and separation axioms,
    Class. Quantum Grav, 29(2012).
  • 12. M. Sanchez, Geodesic connectedness of semi–Riemannian manifolds, Nonlinear Anal, 47
    (5)(2001), 3085–3102.
  • 13. M. Sanchez, On the geometry of static spacetimes, Nonlinear Anal, 63(2005).
  • 14. H. J. Seifert, Global connectivity by timetike geodesics, Zs. fur Naturforsch. 22a(1967),
    1356–1360.
  • 15. M. Vatandoost and Y. Bahrampour, Some necessary and sufficient conditions for admitting a continuous sphere order representation of two-dimensional space-times, J. Math.
    Phys., 53(2012), 122501.
  • 16. M. Vatandoost, R. Pourkhandani, and N. Ebrahimi, On null and causal pseudoconvex
    space-times, J. Math. Phys., 60(2019), 012502.
  • 17. M. Vatandoost, R. Pourkhandani, and N. Ebrahimi, Causaly simple spacetimes and
    Naked Singularities, arXiv:2105.03730v1 [gr-qc] 8 May 2021.
  • 18. F. Treves, lntroduction to Pseudodifferential and Fourier Integral Operatorss, vols. 1 and
    2, Plenum, New York and London, 1980.
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