Repeated crossing of two concentric spherical thin-shells with charge
@article{Mazharimousavi2018RepeatedCO, title={Repeated crossing of two concentric spherical thin-shells with charge}, author={S. Habib Mazharimousavi and Mustafa Halilsoy}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2018} }
Interaction / collision of two concentric spherical thin-shells of linear fluid resulting in collapse has been considered recently. We show that addition of finely tuned electric charges on the shells apart from the cosmological constant serves to delay the collapse indefinitely, yielding an ever colliding system of two concentric fluid shells. Given the finely tuned charges this provides an example of a perpetual two-body motion in general relativity.
2 Citations
Stable thin-shells from 5-dimensional extremal Einstein–Yang–Mills fields
- PhysicsInternational Journal of Geometric Methods in Modern Physics
- 2019
By employing exact Einstein–Yang–Mills (EYM) solution in [Formula: see text] dimensions we establish spherical thin-shells with mass and Yang–Mills charge. Remarkably these shells are stable against…
High energy collision without fine tuning: Acceleration and multiple collisions of shells in a bound system
- Physics
- 2020
High energy collision of massive bodies is investigated without fine tuning. We study multiple collisions of two spherical concentric shells in a gravitationally bound system and calculate the center…
References
SHOWING 1-10 OF 67 REFERENCES
Dynamics and collision of massive shells in curved backgrounds
- Physics
- 1993
The authors analyse the dynamics of the collision of two spherical massive shells in a generally spherically symmetric background, obtaining an expression from the conservation law that imposes a…
Dynamics of crossing cosmological shells
- Physics
- 2011
The crossing of three dust shells is considered as a simplified model for shell crossing during the spherically symmetric collapse of dust which interacts only gravitationally. The formalism is…
Collision of Timelike Shells in Spherically Symmetric Spacetime
- Physics
- 1999
The spacetime representing a collision of two time-like shells is studied. This spacetime is constructed by 'cutting and pasting' four distinct Reissner-NordstrSitter spacetimes. The junction…
On the crossing of thin shells
- Physics
- 2000
The crossing of two dust shells is considered as a simplified model of a collapsing thick layer of dust. We use the Israel's formalism to describe the development of two shells of dust which interact…
Interacting shells in AdS spacetime and chaos
- Physics
- 2016
We study the simplest two-body problem in asymptotically anti-de Sitter spacetime: two, infinitely thin, concentric spherical shells of matter. We include only gravitational interaction between the…
The gravitation effect of colliding planar shells of matter
- Physics
- 1986
Using methods similar to those in a previous paper, (Dray and 't Hooft 1985), the authors construct exact solutions to Einstein's equation containing two colliding planar shells of matter which…
On the dynamics of relativistic multi-layer spherical shell systems
- Physics
- 2011
The relativistic time evolution of multi-layer spherically symmetric shell systems—consisting of infinitely thin shells separated by vacuum regions—is examined. Whenever two shells collide the…
Thin shells in general relativity and cosmology: The lightlike limit.
- PhysicsPhysical review. D, Particles and fields
- 1991
This paper shows how the structure and dynamics of a thin shell traveling at the speed of light can be obtained from a simple and convenient prescription that is a straightforward extension and…
Collapsing shells, critical phenomena and black hole formation
- Physics
- 2016
We study the gravitational collapse of two thin shells of matter, in asymptotically flat spacetime or constrained to move within a spherical box. We show that this simple two-body system has…
Gravitational instability and collapse of charged fluid shells
- Physics
- 1970
SummaryA solution of Einstein’s field equations is derived, representing a thin spherical shell of charged fluid, falling in a spherically symmetric field due to mass and charge at its centre. No…