Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-02-06
Nucl.Phys.B472:361-376,1996
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, RevTeX. 2 Compressed PS figures
Scientific paper
10.1016/0550-3213(96)00209-X
We study the existence and stability of spherical membranes in curved spacetimes. For Dirac membranes in the Schwarzschild--de Sitter background we find that there exists an equilibrium solution. By fine--tuning the dimensionless parameter $\Lambda M^2,$ the static membrane can be at any position outside the black hole event horizon, even at the stretched horizon, but the solution is unstable. We show that modes having $l=0$ (and for $\Lambda M^2<16/243$ also $l=1$) are responsible for the instability. We also find that spherical higher order membranes (membranes with extrinsic curvature corrections), contrary to what happens in flat Minkowski space, {\it do} have equilibrium solutions in a general curved background and, in particular, also in the ``plain'' Schwarzschild geometry (while Dirac membranes do not have equilibrium solutions there). These solutions, however, are also unstable. We shall discuss a way of by--passing these instability problems, and we also relate our results to the recent ideas of representing the black hole event horizon as a relativistic bosonic membrane.
Larsen Arne. L.
Lousto Carlos O.
No associations
LandOfFree
On the Stability of Spherical Membranes in Curved Spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the Stability of Spherical Membranes in Curved Spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Stability of Spherical Membranes in Curved Spacetimes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-700421