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Abstract:

In the present work some generalizations of the Hawking singularity theorems in the context of f(R) theories are presented. The main assumptions are: the matter fields stress energy tensor satisfies the condition (Tij-(gij/2)T)kikj ≥ 0 for any generic unit time like field ki; the scalaron takes bounded positive values during its evolution and the resulting space time is globally hyperbolic. Then, if there exist a Cauchy hyper-surface Σ for which the expansion parameter θ of the geodesic congruence emanating orthogonally from Σ satisfies some specific bounds, then the resulting space time is geodesically incomplete. Some mathematical results of reference [92] are very important for proving this. The generalized theorems presented here apply directly for some specific models such as the Hu-Sawicki or Starobinsky ones [27,38]. For other scenarios, some extra assumptions should be implemented in order to have a geodesically incomplete space time. The hypothesis considered in this text are sufficient, but not necessary. In other words, their negation does not imply that a singularity is absent. © 2016 IOP Publishing Ltd and Sissa Medialab srl.

Registro:

Documento: Artículo
Título:Cosmological singularity theorems for f(R) gravity theories
Autor:Alani, I.; Santillán, O.P.
Filiación:Departamento de Física, IFIBA, Facultad de Ciencias Exactas y Naturales UBA, Ciudad Universitaria, Pabellón 1, Buenos Aires, (1428) C.A.B.A, Argentina
Instituto de Matemáticas Luis Santaló (IMAS), Facultad de Ciencias Exactas y Naturales UBA, Ciudad Universitaria, Pabellón 1, Buenos Aires, (1428) C.A.B.A, Argentina
Palabras clave:cosmic singularity; modified gravity
Año:2016
Volumen:2016
Número:5
DOI: http://dx.doi.org/10.1088/1475-7516/2016/05/023
Título revista:Journal of Cosmology and Astroparticle Physics
Título revista abreviado:J. Cosmol. Astroparticle Phys.
ISSN:14757516
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14757516_v2016_n5_p_Alani

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Citas:

---------- APA ----------
Alani, I. & Santillán, O.P. (2016) . Cosmological singularity theorems for f(R) gravity theories. Journal of Cosmology and Astroparticle Physics, 2016(5).
http://dx.doi.org/10.1088/1475-7516/2016/05/023
---------- CHICAGO ----------
Alani, I., Santillán, O.P. "Cosmological singularity theorems for f(R) gravity theories" . Journal of Cosmology and Astroparticle Physics 2016, no. 5 (2016).
http://dx.doi.org/10.1088/1475-7516/2016/05/023
---------- MLA ----------
Alani, I., Santillán, O.P. "Cosmological singularity theorems for f(R) gravity theories" . Journal of Cosmology and Astroparticle Physics, vol. 2016, no. 5, 2016.
http://dx.doi.org/10.1088/1475-7516/2016/05/023
---------- VANCOUVER ----------
Alani, I., Santillán, O.P. Cosmological singularity theorems for f(R) gravity theories. J. Cosmol. Astroparticle Phys. 2016;2016(5).
http://dx.doi.org/10.1088/1475-7516/2016/05/023