Email: info@ijps.in | Mob: +91-9555269393

Submit Manuscript

Abstract

GLOBAL HYPERBOLICITY IN SPACE-TIME MANIFOLD

Haradhan Kumar Mohajan

Assistant Professor, Faculty of Business Studies, Premier University, Chittagong, Bangladesh

14 - 30
Vol. 1, Jan-Jun, 2016
Receiving Date: 2015-10-30
Acceptance Date: 2016-01-12
Publication Date: 2016-01-19
Download PDF
Abstract

Global hyperbolicity is the most important condition on causal structure space-time, which is involved in problems as cosmic censorship, predictability etc.


Keywords: Cauchy surface; causality; global hyperbolicity; space-time manifold; space-time singularities


References
  1. Bernal, A.N. and Sánchez, M. (2003), On Smooth Cauchy Hypersurfaces and Geroch‟s Splitting Theorem, Communications in Mathematical Physics, 243(3): 461–470.
  2. Bernal, A.N. and Sánchez, M. (2005), Smoothness of Time Functions and the Metric Splitting of Globally Hyperbolic Spacetimes, arXiv:gr-qc/0401112v3 15
  3. Clarke, C.J.S. (1986), Singularities: Global and Local Aspects in Topological Properties and Global Structure of Space-time (ed. P.G. Bergmann and V. de. Sabbata), Plenum Press, New York.
  4. Geroch, R.P. (1970), Domain of Dependence, Journal of Mathematical Physics, 11: 437–449
  5. Geroch, R.P.; Kronheimer, E.H. and Penrose, R. (GKP) (1972), Ideal Points in Space-time, Proceedings of the Royal Society, London, A 237: 545–567.
  6. Hawking, S.W. (1966a), The Occurrence of Singularities in Cosmology I, Proceedings of the Royal Society, London, A294: 511–521.
  7. Hawking, S.W. (1966b), The Occurrence of Singularities in Cosmology II, Proceedings of the Royal Society, London, A295: 490–493.
  8. Hawking, S.W. (1994), Classical Theory, arXiv:hep-th/9409195v1 30 Sep 1994
  9. Hawking, S.W. and Ellis, G.F.R. (1973), The Large Scale Structure of Space-time, Cambridge University Press, Cambridge
  10. Hawking, S.W. and Penrose, R. (1970), The Singularities of Gravitational Collapse and Cosmology, Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, 314: 529–548.
  11. Hawking, S.W. and Sachs, R.K. (1974), Causally Continuous Spacetimes, Communications in Mathematical Physics, 35: 287–296
  12. Joshi, P.S. (1996), Global Aspects in Gravitation and Cosmology, 2nd Edition, Clarendon Press, Oxford.
  13. Kruskal, M.D. (1960), Maximal Extension of Schwarzschild Metric, Physical Review, 119(5): 1743–1745.
  14. Leray, J. (1953), Hyperbolic Differential Equations, The Institute for Advanced Study, Princeton, N. J
  15. Minguzzi, E. and Sánchez, M. (2008), The Causal Hierarchy of Spacetimes, arXiv:grqc/0609119v
  16. Mohajan, H.K. (2013a), Friedmann, Robertson-Walker (FRW) Models in Cosmology, Journal of Environmental Treatment Techniques, 1(3): 158–164.
  17. Mohajan, H.K. (2013b), Schwarzschild Geometry of Exact Solution of Einstein Equation in Cosmology, Journal of Environmental Treatment Techniques, 1(2): 69–75.
  18. Mohajan, H.K. (2013c), Singularity Theorems in General Relativity, M. Phil. Dissertation, Lambert Academic Publishing, Germany.
  19. Mohajan, H.K. (2015), Basic Concepts of Differential Geometry and Fibre Bundles, ABC Journal of Advanced Research, 4(1): 57–73.
  20. Penrose, R. (1972), Techniques of Differential Topology in Relativity, A.M.S. Colloquium Publications, SIAM, Philadelphia.
  21. Sachs, R.K. and Wu, H. (1977), General Relativity and Cosmology, Bulletin of the American Mathematical Society, 83(6): 1101–1164.
  22. Sánchez, M. (2010), Recent Progress on the Notion of Global Hyperbolicity, arXiv:0712.1933v2 [gr-qc] 25 Feb 2010.
  23. Szekeres, P. (1960), On the Singularities of a Riemannian Manifold, Publicationes Mathematicae, Debrecen, 7: 285–301.
  24. Wald, R.M. (1984), General Relativity, The University of Chicago Press, Chicago
Back

alexistogel toto online

bandar alexistogel

alexistogel bandar gacor

alexistogel link

alexistogel online

alexistogel bandar togel

link alternatif alexistogel

alexistogel

alexistogel

alexistogel

alexistogel daftar

alexistogel toto macau

alexistogel bandar macau

alexistogel slot

alexistogel agen slot

situs alexistogel

alexistogel

alexistogel

alexistogel

alexistogel

alexistogel bandar slot

alexistogel

Alexistogel Toto Macau

bandar alexistogel

slot alexistogel

alexistogel bandar togel

alexistogel

alexistogel slot

alexistogel

daftar alexistogel

alexistogel online

rtp alexistogel

alexistogel slot

alexistogel gacor

link alternatif alexistogel

alexistogel login

alexistogel

alexistogel slot dana

agen togel online

bandar togel online

alexistogel rtp

alexistogel slot

alexistogel daftar

slot online dana

situs slot online

alexistogel

bandar togel online

slot online terpercaya

togel slot online

agen slot online gacor

rtp live slot online

bandar slot online

bandar slot online gacor

agen slot online

daftar bandar togel slot

bandar togel online

togel slot hari ini

link alternatif togel slot

rtp slot online gacor

slot online gacor

alexistogel terpercaya

rtp slot gacor

tips slot maxwin

togel slot gacor

prediksi togel

game slot gacor

trik slot online

prediksi togel jitu

daftar togel slot online

slot online gacor

trik slot bonus

prediksi togel

RTP LIVE

Bandar Toto Macau

Situs Slot Gacor

bandarbola855 resmi

bandarbola855 gacor

bandarbola855 slot

link bandarbola855

bandarbola855 rtp

bandarbola855 link

bandarbola855 bandar

bandarbola855

bandarbola855 slot

bandarbola855 terpercaya

bandarbola855 slot

bandarbola855 daftar

bandarbola855 link

bandarbola855

bandarbola855

bandarbola855

iosbet

iosbet

link iosbet

slot online iosbet

iosbet link login

slot iosbet

iosbet gacor

iosbet

slot iosbet

agen iosbet

bandar iosbet

iosbet

iosbet link

iosbet

iosbet

iosbet

iosbet

liatogel

login liatogel

liatogel totomacau