On test particles in general relativity
The field-to-particle approach is generalized to include the self-gravity of a test particle. The quantity which is identified as the four-momentum of the particle is found, for a charged particle, to be related to the Lorentz force, and, for a suitably defined free, spherically symmetric particle,...
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Veröffentlicht in: | Astrophys. J.; (United States) 1984-08, Vol.283 (1), p.321-330 |
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description | The field-to-particle approach is generalized to include the self-gravity of a test particle. The quantity which is identified as the four-momentum of the particle is found, for a charged particle, to be related to the Lorentz force, and, for a suitably defined free, spherically symmetric particle, to be the product of the particle's four-velocity and a constant scalar. In the latter case, the particle's world-line is a geodesic. In the Newtonian approximation, the apparent mass is the usual combination of proper mass and binding energy. The principal assumption is that the particle is small compared with variations in the background metric. Except for this constraint, both the background metric and the particle's internal structure (including gravity) are arbitrary. |
doi_str_mv | 10.1086/162310 |
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Except for this constraint, both the background metric and the particle's internal structure (including gravity) are arbitrary.</description><identifier>ISSN: 0004-637X</identifier><identifier>EISSN: 1538-4357</identifier><identifier>DOI: 10.1086/162310</identifier><identifier>CODEN: ASJOAB</identifier><language>eng</language><publisher>Chicago, IL: University of Chicago Press</publisher><subject>657003 - Theoretical & Mathematical Physics- Relativity & Gravitation ; Astronomy ; CHARGED PARTICLES ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; DIFFERENTIAL EQUATIONS ; Earth, ocean, space ; EQUATIONS ; EQUATIONS OF MOTION ; Exact sciences and technology ; FIELD THEORIES ; FOUR MOMENTUM TRANSFER ; Fundamental aspects of astrophysics ; Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations ; GENERAL RELATIVITY THEORY ; GEODESICS ; GRAVITATION ; LORENTZ FORCE ; METRICS ; MOMENTUM TRANSFER ; PARTIAL DIFFERENTIAL EQUATIONS ; Relativity and gravitation ; SPACE-TIME ; TENSORS ; TEST PARTICLES</subject><ispartof>Astrophys. 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J.; (United States)</title><description>The field-to-particle approach is generalized to include the self-gravity of a test particle. The quantity which is identified as the four-momentum of the particle is found, for a charged particle, to be related to the Lorentz force, and, for a suitably defined free, spherically symmetric particle, to be the product of the particle's four-velocity and a constant scalar. In the latter case, the particle's world-line is a geodesic. In the Newtonian approximation, the apparent mass is the usual combination of proper mass and binding energy. The principal assumption is that the particle is small compared with variations in the background metric. Except for this constraint, both the background metric and the particle's internal structure (including gravity) are arbitrary.</description><subject>657003 - Theoretical & Mathematical Physics- Relativity & Gravitation</subject><subject>Astronomy</subject><subject>CHARGED PARTICLES</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>Earth, ocean, space</subject><subject>EQUATIONS</subject><subject>EQUATIONS OF MOTION</subject><subject>Exact sciences and technology</subject><subject>FIELD THEORIES</subject><subject>FOUR MOMENTUM TRANSFER</subject><subject>Fundamental aspects of astrophysics</subject><subject>Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations</subject><subject>GENERAL RELATIVITY THEORY</subject><subject>GEODESICS</subject><subject>GRAVITATION</subject><subject>LORENTZ FORCE</subject><subject>METRICS</subject><subject>MOMENTUM TRANSFER</subject><subject>PARTIAL DIFFERENTIAL EQUATIONS</subject><subject>Relativity and gravitation</subject><subject>SPACE-TIME</subject><subject>TENSORS</subject><subject>TEST PARTICLES</subject><issn>0004-637X</issn><issn>1538-4357</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1984</creationdate><recordtype>article</recordtype><recordid>eNpFkF1LwzAYhYMoOKf-hiKiV9W8SZu0lzLmBwx2o-BdSNI3GsnamWTC_r0dG3p1OPBweDiEXAK9A9qIexCMAz0iE6h5U1a8lsdkQimtSsHl-yk5S-lrV1nbTsjtsi8yplysdczeBkyF74sP7DHqUEQMOvsfn7fn5MTpkPDikFPy9jh_nT2Xi-XTy-xhUVomWS4bJ52tmXMguOh4R2uBYIxpADujOVQtdI6bqq54K2sJRgDaSkuHVBrTIZ-Sq_3ukLJXyfqM9tMOfY82KzFKg4QRutlD6zh8b0Z7tfLJYgi6x2GTFKs4o1w2_6CNQ0oRnVpHv9Jxq4Cq3Vlqf9YIXh8WdbI6uKh769Mf3bRsZ8x_AVLVZqY</recordid><startdate>19840801</startdate><enddate>19840801</enddate><creator>NOONAN, T. 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Instrumentation, techniques, and astronomical observations</topic><topic>GENERAL RELATIVITY THEORY</topic><topic>GEODESICS</topic><topic>GRAVITATION</topic><topic>LORENTZ FORCE</topic><topic>METRICS</topic><topic>MOMENTUM TRANSFER</topic><topic>PARTIAL DIFFERENTIAL EQUATIONS</topic><topic>Relativity and gravitation</topic><topic>SPACE-TIME</topic><topic>TENSORS</topic><topic>TEST PARTICLES</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>NOONAN, T. W</creatorcontrib><creatorcontrib>Brockport State College, Brockport, New York</creatorcontrib><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>NOONAN, T. W</au><aucorp>Brockport State College, Brockport, New York</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On test particles in general relativity</atitle><jtitle>Astrophys. J.; (United States)</jtitle><date>1984-08-01</date><risdate>1984</risdate><volume>283</volume><issue>1</issue><spage>321</spage><epage>330</epage><pages>321-330</pages><issn>0004-637X</issn><eissn>1538-4357</eissn><coden>ASJOAB</coden><abstract>The field-to-particle approach is generalized to include the self-gravity of a test particle. The quantity which is identified as the four-momentum of the particle is found, for a charged particle, to be related to the Lorentz force, and, for a suitably defined free, spherically symmetric particle, to be the product of the particle's four-velocity and a constant scalar. In the latter case, the particle's world-line is a geodesic. In the Newtonian approximation, the apparent mass is the usual combination of proper mass and binding energy. The principal assumption is that the particle is small compared with variations in the background metric. Except for this constraint, both the background metric and the particle's internal structure (including gravity) are arbitrary.</abstract><cop>Chicago, IL</cop><pub>University of Chicago Press</pub><doi>10.1086/162310</doi><tpages>10</tpages><oa>free_for_read</oa></addata></record> |
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subjects | 657003 - Theoretical & Mathematical Physics- Relativity & Gravitation Astronomy CHARGED PARTICLES CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DIFFERENTIAL EQUATIONS Earth, ocean, space EQUATIONS EQUATIONS OF MOTION Exact sciences and technology FIELD THEORIES FOUR MOMENTUM TRANSFER Fundamental aspects of astrophysics Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations GENERAL RELATIVITY THEORY GEODESICS GRAVITATION LORENTZ FORCE METRICS MOMENTUM TRANSFER PARTIAL DIFFERENTIAL EQUATIONS Relativity and gravitation SPACE-TIME TENSORS TEST PARTICLES |
title | On test particles in general relativity |
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