Black hole normal modes - A semianalytic approach
A new semianalytic technique for determining the complex normal mode frequencies of black holes is presented. The method is based on the WKB approximation. It yields a simple analytic formula that gives the real and imaginary parts of the frequency in terms of the parameters of the black hole and of...
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| Veröffentlicht in: | Astrophys. J.; (United States) 1985-04, Vol.291 (2), p.L33-L36 |
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| container_end_page | L36 |
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| container_title | Astrophys. J.; (United States) |
| container_volume | 291 |
| creator | Schutz, B. F. Will, C. M. |
| description | A new semianalytic technique for determining the complex normal mode frequencies of black holes is presented. The method is based on the WKB approximation. It yields a simple analytic formula that gives the real and imaginary parts of the frequency in terms of the parameters of the black hole and of the field whose perturbation is under study, and in terms of the quantity (n + 1/2), where n = 0, 1, 2,... and labels the fundamental mode, first overtone mode, and so on. In the case of the fundamental gravitational normal modes of the Schwarzschild black hole, the WKB estimates agree with numerical results to better than 7 percent in the real part of the frequency and 0.7 percent in the imaginary part, with the relative agreement improving with increasing angular harmonic. Carried to higher order the method may provide an accurate and systematic means to study black hole normal modes. |
| doi_str_mv | 10.1086/184453 |
| format | Article |
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College, Cardiff, Wales</creatorcontrib><title>Black hole normal modes - A semianalytic approach</title><title>Astrophys. J.; (United States)</title><description>A new semianalytic technique for determining the complex normal mode frequencies of black holes is presented. The method is based on the WKB approximation. It yields a simple analytic formula that gives the real and imaginary parts of the frequency in terms of the parameters of the black hole and of the field whose perturbation is under study, and in terms of the quantity (n + 1/2), where n = 0, 1, 2,... and labels the fundamental mode, first overtone mode, and so on. In the case of the fundamental gravitational normal modes of the Schwarzschild black hole, the WKB estimates agree with numerical results to better than 7 percent in the real part of the frequency and 0.7 percent in the imaginary part, with the relative agreement improving with increasing angular harmonic. Carried to higher order the method may provide an accurate and systematic means to study black hole normal modes.</description><subject>640102 - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources</subject><subject>Astronomy</subject><subject>Astrophysics</subject><subject>BLACK HOLES</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>Fundamental aspects of astrophysics</subject><subject>Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations</subject><subject>MECHANICS</subject><subject>METRICS</subject><subject>OSCILLATIONS</subject><subject>PERTURBATION THEORY</subject><subject>QUANTUM MECHANICS</subject><subject>Relativity and gravitation</subject><subject>SCHWARZSCHILD METRIC</subject><issn>0004-637X</issn><issn>1538-4357</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1985</creationdate><recordtype>article</recordtype><sourceid>CYI</sourceid><recordid>eNpF0E1LxDAQBuAgCq6r_gIPRcRbNdMkbXJcF79gwYuCtzBNU7aaJmvSPey_t0sXPQ0DDy8zLyGXQO-AyvIeJOeCHZEZCCZzzkR1TGaUUp6XrPo8JWcpfe3XQqkZgQeH5jtbB2czH2KPLutDY1OWZ4ss2b5Dj243dCbDzSYGNOtzctKiS_biMOfk4-nxffmSr96eX5eLVW4KxYa8NHWNoq3QKt5CBcjLRlQNCtNaAUKKhgpay1YoMLKuLChZVFJQ2whWUoFsTq6n3JCGTifTDdasTfDemkGXtASAYkS3Expv-9naNOi-S8Y6h96GbdIF5wqYkv_QxJBStK3exK7HuNNA9b42PdU2wptDIiaDro3oTZf-tAIOFGBkVxPzmFD7ISY9fiAoFQVXiv0CLZ5xSA</recordid><startdate>19850415</startdate><enddate>19850415</enddate><creator>Schutz, B. 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Instrumentation, techniques, and astronomical observations</topic><topic>MECHANICS</topic><topic>METRICS</topic><topic>OSCILLATIONS</topic><topic>PERTURBATION THEORY</topic><topic>QUANTUM MECHANICS</topic><topic>Relativity and gravitation</topic><topic>SCHWARZSCHILD METRIC</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Schutz, B. F.</creatorcontrib><creatorcontrib>Will, C. M.</creatorcontrib><creatorcontrib>Washington University, St. Louis, MO</creatorcontrib><creatorcontrib>Univ. College, Cardiff, Wales</creatorcontrib><collection>NASA Scientific and Technical Information</collection><collection>NASA Technical Reports Server</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Astrophys. J.; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Schutz, B. F.</au><au>Will, C. M.</au><aucorp>Washington University, St. Louis, MO</aucorp><aucorp>Univ. College, Cardiff, Wales</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Black hole normal modes - A semianalytic approach</atitle><jtitle>Astrophys. J.; (United States)</jtitle><date>1985-04-15</date><risdate>1985</risdate><volume>291</volume><issue>2</issue><spage>L33</spage><epage>L36</epage><pages>L33-L36</pages><issn>0004-637X</issn><eissn>1538-4357</eissn><coden>ASJOAB</coden><abstract>A new semianalytic technique for determining the complex normal mode frequencies of black holes is presented. The method is based on the WKB approximation. It yields a simple analytic formula that gives the real and imaginary parts of the frequency in terms of the parameters of the black hole and of the field whose perturbation is under study, and in terms of the quantity (n + 1/2), where n = 0, 1, 2,... and labels the fundamental mode, first overtone mode, and so on. In the case of the fundamental gravitational normal modes of the Schwarzschild black hole, the WKB estimates agree with numerical results to better than 7 percent in the real part of the frequency and 0.7 percent in the imaginary part, with the relative agreement improving with increasing angular harmonic. Carried to higher order the method may provide an accurate and systematic means to study black hole normal modes.</abstract><cop>Legacy CDMS</cop><pub>University of Chicago Press</pub><doi>10.1086/184453</doi><oa>free_for_read</oa></addata></record> |
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| identifier | ISSN: 0004-637X |
| ispartof | Astrophys. J.; (United States), 1985-04, Vol.291 (2), p.L33-L36 |
| issn | 0004-637X 1538-4357 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_24491398 |
| source | NASA Technical Reports Server; Alma/SFX Local Collection |
| subjects | 640102 - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources Astronomy Astrophysics BLACK HOLES CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Earth, ocean, space Exact sciences and technology Fundamental aspects of astrophysics Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations MECHANICS METRICS OSCILLATIONS PERTURBATION THEORY QUANTUM MECHANICS Relativity and gravitation SCHWARZSCHILD METRIC |
| title | Black hole normal modes - A semianalytic approach |
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