Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-07-27
Phys.Rev.D64:024005,2001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Final form to appear in Phys. Rev. D. Further information on the web at http://grtensor.phy.queensu.ca/trap/
Scientific paper
10.1103/PhysRevD.64.024005
An explicit necessary condition for the occurrence of resonance scattering of axial gravitational waves, along with the internal trapping of null geodesics, is proposed for static spherically symmetric perfect fluid solutions to Einstein's equations. Some exact inhomogeneous solutions which exhibit this trapping are given with special attention to boundary conditions and the physical acceptability of the space times. In terms of the tenuity ($\alpha = R/M$ at the boundary) all the examples given lie in the narrow range $2.8 < \alpha < 2.9$. The tenuity can be raised to more interesting values by the addition of an envelope without altering the trapping.
Chamandy Luke
Ishak Mustapha
Lake Kayll
Neary Nicholas
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