Space-time singularities in Weyl manifolds

被引:23
作者
Lobo, I. P. [1 ,3 ]
Barreto, A. B. [2 ]
Romero, C. [2 ]
机构
[1] CAPES Fdn, Minist Educ Brazil, Brasilia, DF, Brazil
[2] Univ Fed Paraiba, Dept Fis, BR-58051970 Joao Pessoa, Paraiba, Brazil
[3] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
来源
EUROPEAN PHYSICAL JOURNAL C | 2015年 / 75卷 / 09期
关键词
GRAVITATIONAL COLLAPSE; COSMOLOGIES; GEOMETRY;
D O I
10.1140/epjc/s10052-015-3671-7
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We extend one of the Hawking-Penrose singularity theorems in general relativity to the case of some scalartensor gravity theories in which the scalar field has a geometrical character and space-time has the mathematical structure of a Weyl integrable space-time. We adopt an invariant formalism, so that the extended version of the theorem does not depend on a particular frame.
引用
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页数:9
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共 43 条
  • [1] From Brans-Dicke gravity to a geometrical scalar-tensor theory
    Almeida, T. S.
    Pucheu, M. L.
    Romero, C.
    Formiga, J. B.
    [J]. PHYSICAL REVIEW D, 2014, 89 (06):
  • [2] [Anonymous], 1991, Riemannian Geometry.
  • [3] [Anonymous], ARXIV11113220MATHHO
  • [4] [Anonymous], 1981, Theory of Relativity
  • [5] Thick brane worlds arising from pure geometry
    Arias, O
    Cardenas, R
    Quiros, I
    [J]. NUCLEAR PHYSICS B, 2002, 643 (1-3) : 187 - 200
  • [6] Brans-Dicke theory: Jordan versus Einstein frame
    Bhadra, A.
    Sarkar, K.
    Datta, D. P.
    Nandi, K. K.
    [J]. MODERN PHYSICS LETTERS A, 2007, 22 (05) : 367 - 375
  • [7] Bronnikov K.A., 1995, GRAVIY COSMOL, V1, P60
  • [8] Einstein and Jordan frames reconciled: A frame-invariant approach to scalar-tensor cosmology
    Catena, Riccardo
    Pietroni, Massimo
    Scarabello, Luca
    [J]. PHYSICAL REVIEW D, 2007, 76 (08)
  • [9] On the embedding of space-time in five-dimensional Weyl spaces
    Dahia, F.
    Gomez, G. A. T.
    Romero, C.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (10)
  • [10] Non-singular inflationary cosmologies in Weyl integrable spacetime
    deOliveira, HP
    Salim, JM
    Sautu, SL
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (10) : 2833 - 2843