Journal ArticleDOI
Stationary Cylindrically Symmetric Clusters of Particles in General Relativity
A. K. Raychaudhuri,M. M. Som,H. Bondi +2 more
- Vol. 58, Iss: 02, pp 338-345
Reads0
Chats0
TLDR
In this article, the case of a cylindrically symmetric cluster of particles moving in circles perpendicular to the axis of symmetry is discussed on the basis of the equations of general relativity.Abstract:
The case of a cylindrically symmetric cluster of particles moving in circles perpendicular to the axis of symmetry is discussed on the basis of the equations of general relativity. A number of special solutions are obtained, and two interesting results on the relation between the gravitational mass and the sum of the free particle masses for these clusters are deduced.read more
Citations
More filters
Journal ArticleDOI
Shearfree cylindrical gravitational collapse
TL;DR: In this paper, the authors consider diagonal cylindrically symmetric metrics, with an interior representing a general nonrotating fluid with anisotropic pressures and an exterior vacuum Einstein-Rosen spacetime is matched to this using Darmois matching conditions.
Journal ArticleDOI
Perfect-fluid cylinders and walls - sources for the Levi-Civita space-time
TL;DR: In this article, the problem of matching a perfect-fluid source to the Levi-Civita metric tensor with respect to the space-time is considered, and the solution is either static fluid cylinders or walls depending on whether or not one of the spatial coordinates is periodic.
Journal ArticleDOI
Perfect-fluid cylinders and walls - sources for the Levi-Civita spacetime
TL;DR: In this paper, the problem of matching a perfect-fluid source to the Levi-Civita metric tensor with respect to a perfect fluid source is reduced to quadratures once a generating function equal to the product of two of the metric components is chosen.
Journal ArticleDOI
The Levi–Civita space–time
TL;DR: In this paper, two exact solutions of Einstein's field equations corresponding to a cylinder of dust with net zero angular momentum are considered and the junction conditions to the exterior static vacuum Levi-Civita space time are studied.
Journal ArticleDOI
The Levi-Civita spacetime
TL;DR: In this paper, the authors considered two exact solutions of Einstein's field equations corresponding to a cylinder of dust with net zero angular momentum, and they studied the junction conditions to the exterior static vacuum Levi-Civita spacetime.
References
More filters
Journal ArticleDOI
An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
Journal ArticleDOI
On a stationary system with spherical symmetry consisting of many gravitating masses
Journal ArticleDOI
Gravitational Waves in General Relativity. I. Cylindrical Waves
TL;DR: In this paper, the cylindrical wave solutions of the free-space gravitational field equations are superimposed on a static field and extended to the interior of a generating cylinder of matter.