Stars on branes: the view from the brane
@article{Deruelle2001StarsOB, title={Stars on branes: the view from the brane}, author={Nathalie Deruelle}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2001} }
We consider spherically symmetric matter configurations on a four dimensional "brane" embedded in a five dimensional $Z_2$-symmetric "bulk". We write the junction conditions between the interior and exterior of these "stars", treat a couple of static examples in order to point out the differences with ordinary four dimensional Einstein gravity, consider briefly a collapse situation and conclude with the importance of a global view including asymptotic and regularity conditions in the bulk.
35 Citations
Constraints on the braneworld from compact stars
- Physics
- 2016
According to the braneworld idea, ordinary matter is confined on a three-dimensional space (brane) that is embedded in a higher-dimensional space-time where gravity propagates. In this work, after…
On-brane data for braneworld stars
- Physics
- 2003
Stellar structure in braneworlds is markedly different from that in ordinary general relativity. As an indispensable first step towards a more general analysis, we completely solve the ``on brane''…
Nonuniform Braneworld Stars: AN Exact Solution
- Physics
- 2009
In this paper the first exact interior solution to Einstein's field equations for a static and nonuniform braneworld star with local and nonlocal bulk terms is presented. It is shown that the bulk…
The Schwarzschild's Braneworld Solution
- Physics
- 2010
In the context of the Randall–Sundrum braneworld, the minimal geometric deformation approach, which has been successfully used to generate exact interior solutions to Einstein's field equations for…
The low energy problem on astrophysics braneworld
- Physics
- 2008
Considering an anisotropic and non uniform stellar distribution in the context of braneworld, an exact analytic solution to Einstein’s field equations is found, however it is not possible to regain…
Black Hole Solutions in Braneworlds with Induced Gravity
- Physics
- 2002
An analysis of a spherically symmetric braneworld configuration is performed when the intrinsic curvature scalar is included in the bulk action. In the case when the electric part of the Weyl tensor…
Brane-world stars with a solid crust and vacuum exterior
- Physics
- 2015
The minimal geometric deformation approach is employed to show the existence of brane-world stellar distributions with a vacuum Schwarzschild exterior, thus without energy leaking from the exterior…
Friedmann branes with variable tension
- Physics
- 2008
We introduce braneworlds with nonconstant tension, strengthening the analogy with fluid membranes, which exhibit a temperature dependence according to the empirical law established by Eotvos. This…
Strong brane gravity and the radion at low energies
- Physics
- 2002
For the two-brane Randall–Sundrum model, we calculate the bulk geometry for strong gravity, in the low matter density regime, for slowly varying matter sources. This is relevant for astrophysical or…
References
SHOWING 1-10 OF 21 REFERENCES
Gravity on branes
- Physics
- 2001
We consider the four dimensional discontinuity generated by two identical pieces of a five dimensional space pasted along their edge (that is a “brane” in a “Z2-symmetric” “bulk”). Using a four plus…
Gravitational Collapse on the Brane
- Physics
- 2001
We investigate how braneworld gravity affects gravitational collapse and black hole formation by studying Oppenheimer-Snyder-like collapse on a Randall-Sundrum type brane. Without making any…
Linearized gravity in the Randall-Sundrum scenario
- Physics
- 2001
In the literature about the Randall-Sundrum scenario, one finds, on the one hand, that there exist (small) corrections to Newton's law of gravity on the brane and, on the other, that the exact (and…
Stars in the braneworld
- Physics
- 2001
We show that, in a Randall-Sundrum II type braneworld, the vacuum exterior of a spherical star is not in general a Schwarzschild spacetime, but has radiative-type stresses induced by five-dimensional…
Phys Letters B477
- Phys Letters B477
- 2000
Phys. Rev. Lett
- Phys. Rev. Lett
- 2000
Phys. Rev. Lett
- Phys. Rev. Lett
- 1999
Phys
- Rev. Lett. 83
- 1999
Nuovo Cimento B48 Darmois, Mémorial des Sciences Mathématiques XXV, Gauthier-Villars
- Nuovo Cimento B48 Darmois, Mémorial des Sciences Mathématiques XXV, Gauthier-Villars
- 1922