Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Senovilla, J. M. M."'
Publikováno v:
J. Eur. Math. Soc. 15 (2013) 595-634
Second-order symmetric Lorentzian spaces, that is to say, Lorentzian manifolds with vanishing second derivative of the curvature tensor R, are characterized by several geometric properties, and explicitly presented. Locally, they are a product M=M_1
Externí odkaz:
http://arxiv.org/abs/1101.5503
Publikováno v:
J.Phys.Conf.Ser.314:012021,2011
We give a summary of recent results on the explicit local form of the second-order symmetric Lorentzian manifolds in arbitrary dimension, and its global version. These spacetimes turn out to be essentially a specific subclass of plane waves.
Com
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Externí odkaz:
http://arxiv.org/abs/1101.3438
Publikováno v:
J. Phys.: Conf. Ser. 229 (2010) 011001 (Ed. Ruth Lazkoz and Raul Vera), 012021 (4 p.)
As a difference with the positive-definite Riemannian case, in the Lorentzian case there exists proper second-order symmetric spacetimes, i.e., those with vanishing second covariant derivative of the Riemannian tensor ($R_{\lambda\mu\nu\rho;\alpha;\b
Externí odkaz:
http://arxiv.org/abs/1001.3629
Publikováno v:
Recent Developments in Gravitation, Eds: A. Feinstein y J. Ibanez. World Scientific, Singapore, 172-176 (1992)
In this lecture we will show some properties of a singularity-free solution to Einstein's equations and its accordance with some theorems dealing with singularities. We will also discuss the implications of the results.
Comment: 5 pp. Published
Comment: 5 pp. Published
Externí odkaz:
http://arxiv.org/abs/0906.4480
Publikováno v:
Phys.Rev. D45 (1992) 481
We show that the solution published in Ref.1 is geodesically complete and singularity-free. We also prove that the solution satisfies the stronger energy and causality conditions, such as global hyperbolicity, causal symmetry and causal stability. A
Externí odkaz:
http://arxiv.org/abs/gr-qc/0403075
Publikováno v:
Class.Quant.Grav. 20 (2003) 2663-2668
The Chevreton superenergy tensor was introduced in 1964 as a counterpart, for electromagnetic fields, of the well-known Bel-Robinson tensor of the gravitational field. We here prove the unnoticed facts that, in the absence of electromagnetic currents
Externí odkaz:
http://arxiv.org/abs/gr-qc/0303036
We define a new type of transformation for Lorentzian manifolds characterized by mapping every causal future-directed vector onto a causal future-directed vector. The set of all such transformations, which we call causal symmetries, has the structure
Externí odkaz:
http://arxiv.org/abs/math-ph/0211078
Autor:
Senovilla, J. M. M.
Publikováno v:
Class.Quant.Grav. 19 (2002) L113
A very simple criterion to ascertain if (D-2)-surfaces are trapped in arbitrary D-dimensional Lorentzian manifolds is given. The result is purely geometric, independent of the particular gravitational theory, of any field equations or of any other co
Externí odkaz:
http://arxiv.org/abs/hep-th/0204005
Autor:
Senovilla, J. M. M.
In Lorentzian manifolds of any dimension the concept of causal tensors is introduced. Causal tensors have positivity properties analogous to the so-called ``dominant energy condition''. Further, it is shown how to build, from ANY given tensor $A$, a
Externí odkaz:
http://arxiv.org/abs/math-ph/0202029
Autor:
Bergqvist, G., Senovilla, J. M. M.
Publikováno v:
Class.Quant.Grav. 18 (2001) 5299-5326
A rank-n tensor on a Lorentzian manifold V whose contraction with n arbitrary causal future directed vectors is non-negative is said to have the dominant property. These tensors, up to sign, are called causal tensors, and we determine their general p
Externí odkaz:
http://arxiv.org/abs/gr-qc/0104090