Geodesics in Lewis space–time

Herrera, L.; Santos, N. O.

doi:10.1063/1.532470

Cited by 27 publications

(57 citation statements)

References 11 publications

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“…In the same line of arguments it is worth noticing that circular geodesics of test particles become null when σ = 1/4, for both, the static and stationary cylinder [10], but this corresponds to m = 1/4 in the first case and m = 1/8 in the van Stockum case.…”

Section: The Whittaker Massmentioning

confidence: 99%

Stationary cylindrical anisotropic fluid

et al. 2006

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We present the whole set of equations with regularity and matching conditions required for the description of physically meaningful stationary cylindrically symmmetric distributions of matter, smoothly matched to Lewis vacuum spacetime. A specific example is given. The electric and magnetic parts of the Weyl tensor are calculated, and it is shown that purely electric solutions are necessarily static. Then, it is shown that no conformally flat stationary cylindrical fluid exits, satisfying regularity and matching conditions. *

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Section: The Whittaker Massmentioning

confidence: 99%

Stationary cylindrical anisotropic fluid

et al. 2006

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“…The physical interpretation of this result is straightforward: we have an initially static system, whose mass per unit of length is related to β [46], next the source emits a wave front traveling outwards, carrying out energy.…”

Section: Discussionmentioning

confidence: 99%

“…This case is represented by the well known Levi-Civita solution [44], [45], [46] ψ LC = α − β ln r α, β constants (46) and…”

Section: Static Casementioning

confidence: 99%

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Energetics of the Einstein–Rosen Spacetime

et al. 2007

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A study covering some aspects of the Einstein-Rosen metric is presented. The electric and magnetic parts of the Weyl tensor are calculated. It is shown that there are no purely magnetic E-R spacetimes, and also that a purely electric E-R spacetime is necessarily static. The geodesics equations are found and circular ones are analyzed in detail. The super-Poynting and the "Lagrangian" Poynting * e-mail: laherrera@cantv.net.ve † e-mail: adiprisc@fisica.ciens.ucv.ve ‡ e-mail: jcarot@uib.es § e-mail: N.O.Santos@qmul.ac.uk and santos@ccr.jussieu.fr 1 vectors are calculated and their expressions are found for two specific examples. It is shown that for a pulse-type solution, both expressions describe an inward radially directed flow of energy, far behind the wave front. The physical significance of such an effect is discussed.2

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“…Lewis stationary vacuum metric is usually presented with four parameters [14] which admits a specific physical interpretation when matched to a particular source. These four parameters which are related to topological defects [9,15] not entering into the expression of the physical components of curvature tensor may be real (Weyl class) or complex (Lewis class). In recent years, the physical meaning of these parameters have been discussed for both classes [9,10].…”

Section: Introductionmentioning

confidence: 99%