Singularity-free space-time

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dc.contributor.authorChinea Trujillo, Francisco Javier
dc.contributor.authorFernández Jambrina, Leonardo
dc.contributor.authorSenovilla, J. M. M.
dc.date.accessioned2023-06-20T19:16:59Z
dc.date.available2023-06-20T19:16:59Z
dc.date.issued1992-01-15
dc.description1992 The American Physical Society. The present work has been supported in part by DGICYT Project No. PB89-0142 (F.J.C.) and CICYT Project No. AEN90-0061 (J.M.M.S.); L. F. J. was supported by the Ministerio de Educacion y Ciencia (Spain). J.M.M.S. wishes to thank E. Ruiz for discussions.
dc.description.abstractWe show that the solution published in the paper by Senovilla [Phys. Rev. Lett. 64, 2219 (1990)] is geodesically complete and singularity-free. We also prove that the solution satisfies the stronger energy and causality conditions, such as global hyperbolicity, the strong energy condition, causal symmetry, and causal stability. A detailed discussion about which assumptions in the singularity theorems are not satisfied is performed, and we show explicitly that the solution is in accordance with those theorems. A brief discussion of the results is given.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.sponsorshipCICYT
dc.description.sponsorshipMinisterio de Educacion y Ciencia (Spain)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/29491
dc.identifier.citation[1]J. M. M. Senovilla, Phys. Rev. Lett. 64, 2219 (1990). [2] S. W. Hawking and Cx. F. R. Ellis, The Large Scale Struc ture of Space time (Cambridge - University Press, Cambridge, England, 1973). [3]J. Beem and P. Ehrlich, Global Lorentzian Geometry (Dekker, New York, 1981). [4] D. Kramer, H. Stephani, M. MacCallum, and E. Herlt, Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge, England, 1980). [5] V. I. Arnold, Ordinary Differential Equations (MIT Press, Cambridge, MA, 1973). [6]R. Geroch, J. Math. Phys. 11,437 (1970). [7] F.J. Tipler, J.Math. Phys. 1$, 1568 (1977). [8]R. Penrose, Phys. Rev. Lett. 14, 57 (1965). [9]S. W. Hawking and R. Penrose, Proc. R. Soc. London A314, 529 (1970). [10]E. Ruiz and J. M. M. Senovilla, Phys. Rev. D (to be published). [11]A. Feinstein and J. M. M. Senovilla, Class. Quantum Grav. 6, L89 (1989).
dc.identifier.doi10.1103/PhysRevD.45.481
dc.identifier.issn0556-2821
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevD.45.481
dc.identifier.relatedurlhttp://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59477
dc.issue.number2
dc.journal.titlePhysical review D
dc.language.isoeng
dc.page.final486
dc.page.initial481
dc.publisherAmer Physical Soc
dc.relation.projectIDPB89-0142
dc.relation.projectIDAEN90-0061
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleSingularity-free space-time
dc.typejournal article
dc.volume.number45
dspace.entity.typePublication
relation.isAuthorOfPublicatione4399503-cd94-463f-9f57-413f91e12fc8
relation.isAuthorOfPublication.latestForDiscoverye4399503-cd94-463f-9f57-413f91e12fc8
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