Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-06-30
Annales Henri Poincare 11:805-880,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Remarks and References Added
Scientific paper
10.1007/s00023-010-0043-6
We prove that sufficiently regular solutions to the wave equation $\Box_g\phi=0$ on the exterior of the Schwarzschild black hole obey the estimates $|\phi|\leq C_\delta v_+^{-{3/2}+\delta}$ and $|\partial_t\phi|\leq C_{\delta} v_+^{-2+\delta}$ on a compact region of $r$ and along the event horizon. This is proved with the help of a new vector field commutator that is analogous to the scaling vector field on Minkowski spacetime. This result improves the known decay rates in the region of finite $r$ and along the event horizon.
No associations
LandOfFree
Improved decay for solutions to the linear wave equation on a Schwarzschild black hole 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 Improved decay for solutions to the linear wave equation on a Schwarzschild black hole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Improved decay for solutions to the linear wave equation on a Schwarzschild black hole will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-441339