外扰动Riemann几何在地震预测中的应用
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摘要
研究了球对称 Riemann几何在外扰动下的稳定性 .主要讨论引力波入射到该物体时 ,发生散射和吸收的方式 .这个问题的答案显然在地震预测研究中存在着应用前景 .在理论上 ,这些答案还引发进一步的兴趣 :它将更深入地揭示广义相对论时空性质
The stablity of the spherical object to external perturbations has been discussed. On the applied side, the principal question to which the study is addressed is the manner in which gravitational waves, incident on the object, are scattered and absorbed. The answer to this question has clearly some interest on predicting earthquake. On the theoretical side, the answer has a more trascendent interest: it provides insight into the deeper aspects of spacetime as conceived in general relativity.
The stablity of the spherical object to external perturbations has been discussed. On the applied side, the principal question to which the study is addressed is the manner in which gravitational waves, incident on the object, are scattered and absorbed. The answer to this question has clearly some interest on predicting earthquake. On the theoretical side, the answer has a more trascendent interest: it provides insight into the deeper aspects of spacetime as conceived in general relativity.
引文
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[2 ] WOO G.The Mathematics of Natural Catastrophe[M].Imperial College Press,1 999.
[3] KRAMER D,STEPHANI H,HERLT E,MACCALLUM M.Exact solutions of Einstein's fieldequations[M].Cambridge Univ Press,1 980 .
[4] LIX Z.Dimensionally continued wormhole solution[J].Phys Rev,1 994,D50 :3787.
[5] IYER S,WILL C M.Black hole normal modes:A WKB approachΙ[J].Phys Rev,1 987,35:362 1 .
[6] LIX Z,ZHAI X H.Fermion stars with a global monopole[J].Phys lett,1 95,B364:2 1 2 .
[7] LIX Z,ZHAI X H,CHEN G.Boson D- stars[J].Astropart,Phys,2 0 0 0 ,1 3:2 4 5.
[8] LIJM,LI X Z.Feature of motion around D- stars[J].Chin Phys Lett,1 998,1 5:3.
[9] AGNESE A G,CAMERA M.Gravitation without black holes[J].Phy Rev,1 985,D31 :1 2 80 .
[1 0 ] ZHAIX H,YUAN N Y,LIX Z.Motion oftestpartical in generalized schwarzschild geometry[J].Chin Phys Lett,1 999,1 6:32 1 .
[1 1 ] YUAN N Y,LI X Z.Complex normal modes of generalized schwarschild geometry[J].Chin PhysLett,2 0 0 0 ,1 7:2 4 6.
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