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COMPARISON OF METRICS FROM RETARDED INTEGRALS AND TRANSVERSE TRACELESS SUBGAUGE.

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Title: COMPARISON OF METRICS FROM RETARDED INTEGRALS AND TRANSVERSE TRACELESS SUBGAUGE.
Authors: LEWIS, R. A.1, MODANESE, G.2
Source: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. Jul2013, Vol. 28 Issue 19, p-1. 26p.
Subjects: Integrals, Metric geometry, Time-varying systems, Gravitational fields, Weber functions, Einstein field equations, Boundary value problems
Abstract: The time-varying gravitational field produced by a Weber bar is used to explore physical and mathematical features of the linearized Einstein equation. We present a self-contained formal framework for the treatment of the linear field, that is applicable to several sources for which the standard quadrupolar formulas are not adequate. The expressions for retarded integrals reveal a singularity associated with boundary conditions. Results from the transverse traceless subgauge are compared with the radiation calculated from retarded integrals. Lienard-Wiechert potentials are used in a treatment of the Weber bar as a collection of point particles and further possible applications are outlined. The Riemann tensor clarifies the transition from near-field geodesic forces to tidal forces in the far field. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 89438322
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PubType: Academic Journal
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  Data: <searchLink fieldCode="DE" term="%22Integrals%22">Integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Metric+geometry%22">Metric geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Time-varying+systems%22">Time-varying systems</searchLink><br /><searchLink fieldCode="DE" term="%22Gravitational+fields%22">Gravitational fields</searchLink><br /><searchLink fieldCode="DE" term="%22Weber+functions%22">Weber functions</searchLink><br /><searchLink fieldCode="DE" term="%22Einstein+field+equations%22">Einstein field equations</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink>
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  Data: The time-varying gravitational field produced by a Weber bar is used to explore physical and mathematical features of the linearized Einstein equation. We present a self-contained formal framework for the treatment of the linear field, that is applicable to several sources for which the standard quadrupolar formulas are not adequate. The expressions for retarded integrals reveal a singularity associated with boundary conditions. Results from the transverse traceless subgauge are compared with the radiation calculated from retarded integrals. Lienard-Wiechert potentials are used in a treatment of the Weber bar as a collection of point particles and further possible applications are outlined. The Riemann tensor clarifies the transition from near-field geodesic forces to tidal forces in the far field. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1142/S0217751X13500930
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      – Code: eng
        Text: English
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        PageCount: 26
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    Subjects:
      – SubjectFull: Integrals
        Type: general
      – SubjectFull: Metric geometry
        Type: general
      – SubjectFull: Time-varying systems
        Type: general
      – SubjectFull: Gravitational fields
        Type: general
      – SubjectFull: Weber functions
        Type: general
      – SubjectFull: Einstein field equations
        Type: general
      – SubjectFull: Boundary value problems
        Type: general
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      – TitleFull: COMPARISON OF METRICS FROM RETARDED INTEGRALS AND TRANSVERSE TRACELESS SUBGAUGE.
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              Text: Jul2013
              Type: published
              Y: 2013
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            – TitleFull: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
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