Energetics of the Einstein–Rosen Spacetime

Herrera, L.; Prisco, A. Di; Carot, J.; Santos, N. O.

doi:10.1007/s10773-007-9460-9

Cited by 9 publications

(6 citation statements)

References 39 publications

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“…In that example Feymann dismisses the significance of such an effect by arguing that it is deprived of any physical relevance. However in our case, the presence of a radial inwardly directed flux, is necessary in order to restore the energy carried away by the pulse and at the same time, to explain the time evolution pattern of the angular velocity of a test particle in a circular motion around the source (see [28] for a discussion on this point).…”

Section: Radiation and Vorticity In Cylin-drically Symmetric Systemsmentioning

confidence: 98%

Radiation and vorticity: the missing link

Herrera

2013

Gen Relativ Gravit

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In the context of General Relativity, radiation, either gravitational or electromagnetic, is closely associated to vorticity of observers world lines. We stress in this letter that the factor that relates the two phenomena is a circular flow of energy (electromagnetic) and/or superenergy on the planes orthogonal to vorticity vector. We also stress the potential relevance of the abovementioned relationship in experiments to detect gravitational radiation.

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Section: Radiation and Vorticity In Cylin-drically Symmetric Systemsmentioning

confidence: 98%

Radiation and vorticity: the missing link

Herrera

2013

Gen Relativ Gravit

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“…Other local characterizations of the presence of radiation are given by the decomposition of the Bel-Robinson tensor. The behaviour of this tensor in an ER spacetime was considered in [30], where the obvious unit vector in the form (20), i.e. the one parallel to ∂/∂T , was used to define the decomposition.…”

Section: Energy Superenergy Radiation and Boundary Conditionsmentioning

confidence: 99%

Shearfree cylindrical gravitational collapse

et al. 2009

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We consider diagonal cylindrically symmetric metrics, with an interior representing a general nonrotating fluid with anisotropic pressures. An exterior vacuum Einstein-Rosen spacetime is matched to this using Darmois matching conditions. We show that the matching conditions can be explicitly solved for the boundary values of metric components and their derivatives, either for the interior or exterior. Specializing to shearfree interiors, a static exterior can only be matched to a static interior, and the evolution in the non-static case is found to be given in general by an elliptic function of time. For a collapsing shearfree isotropic fluid, only a Robertson-Walker dust interior is possible, and we show that all such cases were included in Cocke's discussion. For these metrics, Nolan and Nolan have shown that the matching breaks down before collapse is complete and Tod and Mena have shown that the spacetime is not asymptotically flat in the sense of Berger et al. The issues about energy that then arise are revisited and it is shown that the exterior is not in an intrinsic gravitational or superenergy radiative state at the boundary.

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“…Thus, for instance, it helps to explain the occurrence of vorticity in both radiative [6], and stationary spacetimes [7]. Also, it renders intelligible the behaviour of test particles moving in circles around the symmetry axis in an Einstein-Rosen spacetime [8].…”

Section: Superenergymentioning

confidence: 99%

“…Also, it renders intelligible the behaviour of test particles moving in circles around the symmetry axis in an Einstein-Rosen spacetime [8].…”

Section: Superenergymentioning

confidence: 99%

On the Meaning of General Covariance and the Relevance of Observers in General Relativity

Herrera

2011

Int. J. Mod. Phys. D

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Since the appearance of General Relativity, its intrinsec general covariance has been very often misinterpreted as implying that physically meaningful quantitities (and conclusions extracted from the theory) have to be absolutely independent on observers. This incorrect point of view is sometimes expressed by discarding the very concept of observer in the structure and applications of the theory. As we shall stress in this essay, through some examples, the concept of observer is as essential to General Relativity as it is to any physical theory.Entia non sunt multiplicanda praeter neccessitatem (Entities should not be introduced except when strictly necessary).

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Energetics of the Einstein–Rosen Spacetime

Cited by 9 publications

References 39 publications

Radiation and vorticity: the missing link

Radiation and vorticity: the missing link

Shearfree cylindrical gravitational collapse

On the Meaning of General Covariance and the Relevance of Observers in General Relativity

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