Geodesic motion and confinement in Lanczos spacetime

Pereira, Paulo R. C. T.; Santos, N. O.; Wang, A Z

doi:10.1088/0264-9381/13/6/026

Cited by 18 publications

(32 citation statements)

References 21 publications

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“…For the spacetimes to be cylindrical, several criteria have to be satisfied [12]. When the symmetry axis is regular, those conditions are easily imposed.…”

Section: Dynamics Of Cylindrical Thin Shells Without Rotationmentioning

confidence: 99%

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Gravitational collapse of cylindrical shells made of counterrotating dust particles

Pereira

Wang

2000

Phys. Rev. D

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The general formulas of a non-rotating dynamic thin shell that connects two arbitrary cylindrical regions are given using Israel's method. As an application of them, the dynamics of a thin shell made of counter-rotating dust particles, which emits both gravitational waves and massless particles when it is expanding or collapsing, is studied. It is found that when the models represent a collapsing shell, in some cases the angular momentum of the dust particles is strong enough to halt the collapse, so that a spacetime singularity is prevented from forming, while in other cases it is not, and a line-like spacetime singularity is finally formed on the symmetry axis.

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“…For the spacetimes to be cylindrical, several criteria have to be satisfied [12]. When the symmetry axis is regular, those conditions are easily imposed.…”

Section: Dynamics Of Cylindrical Thin Shells Without Rotationmentioning

confidence: 99%

“…so that the symmetry axis is well defined and the local-flatness condition is satisfied [12]. The metric outside the shell will be chosen as that representing out-going radiation fluid, given by [9] …”

Section: Gravitational Collapse Of Cylindrical Shells Made Of Comentioning

confidence: 99%

Gravitational collapse of cylindrical shells made of counterrotating dust particles

Pereira

Wang

2000

Phys. Rev. D

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“…The integration constants in (3.1) are to be chosen properly in order to ensure Lorentzian signature, energy conditions and even regularity at the origin, if desired [15]. In order to fulfil the energy conditions, ω 2 ≥ P or 2ω 2 ≥ P depending on whether the pressure is positive or negative, respectively.…”

Section: Exact Solutionsmentioning

confidence: 99%

“…when r → +0 ( [5,15]). Assuming for simplicity γ ∝ r 2 , when r tends to zero (in practise γ ∝ C 2 r 2 ), the conditions (3.6) and (3.7) applied on (3.5) show following relations 1 2…”

Section: Exact Solutionsmentioning

confidence: 99%

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Klepáč

Horský

2001

Czechoslovak Journal of Physics

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Charged perfect fluid with vanishing Lorentz force and massless scalar field is studied in the case of stationary cylindrically symmetric spacetime. The scalar field can depend both on radial and longitudinal coordinates. Solutions are found and classified according to scalar field gradient and magnetic field relationship. Their physical and geometrical properties are examined and discussion of particular cases, directly generalizing Gödel-type spacetimes, is presented.

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“…H 12 = h 12 cosh(2λv) + k 12 sinh(2λv) + γH 23 /(2A), 14) where the h ij (u) are arbitrary functions. Eqs.…”

Section: D)mentioning

confidence: 99%

Rotating dust solutions of Einstein’s equations with three-dimensional symmetry groups. III. All Killing fields linearly independent of uα and wα

Krasiński

1998

Journal of Mathematical Physics

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Abstract. This is the third and last part of a series of 3 papers. Using the same method and the same coordinates as in parts 1 and 2, rotating dust solutions of Einstein's equations are investigated that possess 3-dimensional symmetry groups, under the assumption that each of the Killing vectors is linearly independent of velocity u α and rotation w α at every point of the spacetime region under consideration. The Killing fields are found and the Killing equations are solved for the components of the metric tensor in every case that arises. No progress was made with the Einstein equations in any of the cases, and no previously known solutions were identified. A brief overview of literature on solutions with rotating sources is given.

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Geodesic motion and confinement in Lanczos spacetime

Cited by 18 publications

References 21 publications

Gravitational collapse of cylindrical shells made of counterrotating dust particles

Gravitational collapse of cylindrical shells made of counterrotating dust particles

Untitled

Rotating dust solutions of Einstein’s equations with three-dimensional symmetry groups. III. All Killing fields linearly independent of uα and wα

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