Peeling properties of lightlike signals in general relativity

Bressange, G. F.; Hogan, P. A.

doi:10.1103/physrevd.60.104006

Cited by 3 publications

(11 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, space-times describing light like signals propagating through a general Bondi-Sachs space-time have peeling properties as well. In certain cases these are different from those of a Bondi-Sachs space-time [5].…”

Section: Introductionmentioning

confidence: 82%

Behavior of curvature and matter in the Penrose limit

Kunze

2005

Phys. Rev. D

View full text Add to dashboard Cite

The asymptotic behaviour of the components of the Weyl tensor and of the energy-momentum tensor in the Penrose limit is determined. In both cases a peeling-off property is found. Examples of different types of matter are provided. The expansion and shear of the congruence of null geodesics along which the Penrose limit is taken are determined. Finally, the approach to the singularity in the Penrose limit of cosmological space-times is discussed.

show abstract

Section: Introductionmentioning

confidence: 82%

Behavior of curvature and matter in the Penrose limit

Kunze

2005

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…such that ∇ µ g ∼ λν = 0 . The whole set of equations (31), (32) an d (37) describe the dynamics of the shell, however as they are not all independent only part of them need to be used.…”

Section: Iii1 Junction Conditions : the Distributional Descriptionmentioning

confidence: 99%

“…According to the form taken by the functions F (x, y), U + (u, v + ) and V + (u, v + ) diferent types of situations can occur: we can have only a lighlike shell, only an impulsive wave or both. A more extended version describing the geometry of the spacetimes M ± and the properties of the shell and the wave will be presented in forthcoming paper [37].…”

Section: Planar Shells and Impulsive Wavesmentioning

confidence: 99%

Singular hypersurfaces in scalar - tensor theories of gravity

Barrabès

Bressange

1997

Class. Quantum Grav.

View full text Add to dashboard Cite

We study singular hypersurfaces in tensor multi-scalar theories of gravity.We derive in a distributional and then in an intrinsic way, the general equations of junction valid for all types of hypersurfaces, in particular for lightlike shells and write the general equations of evolution for these objects. We apply this formalism to various examples in static spherically symmetric spacetimes, and to the study of planar domain walls and plane impulsive waves.

show abstract

“…Regrouping the covariant derivatives and taking into account the relation between spin and torsion given in (15), this equation leads directly to the generalized evolution equation of the spin tensor…”

Section: The Einstein-cartan Theorymentioning

confidence: 99%

“…Using the relations (4), (15) and (29), we can obtain the following useful form of Σ νρ in terms of the spin tensor…”

Section: Figure 1 : Isometric Soldering Of Two Spacetimesmentioning

confidence: 99%

On the extension of the concept of thin shells to the Einstein-Cartan theory

Bressange¹

2000

Class. Quantum Grav.

View full text Add to dashboard Cite

This paper develops a theory of thin shells within the context of the Einstein-Cartan theory by extending the known formalism of general relativity. In order to perform such an extension, we require the general non symmetric stress-energy tensor to be conserved leading, as Cartan pointed out himself, to a strong constraint relating curvature and torsion of spacetime. When we restrict ourselves to the class of space-times satisfying this constraint, we are able to properly describe thin shells and derive the general expression of surface stress-energy tensor both in its four-dimensional and in its three-dimensional intrinsic form. We finally derive a general family of static solutions of the Einstein-Cartan theory exhibiting a natural family of null hypersurfaces and use it to apply our formalism to the construction of a null shell of matter. *

show abstract

Peeling properties of lightlike signals in general relativity

Cited by 3 publications

References 9 publications

Behavior of curvature and matter in the Penrose limit

Behavior of curvature and matter in the Penrose limit

Singular hypersurfaces in scalar - tensor theories of gravity

On the extension of the concept of thin shells to the Einstein-Cartan theory

Contact Info

Product

Resources

About