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Deviation equations of Synge and Schild in spaces with affine connection and metric, and equations for gravitational waves detectors

Abstract

Deviation equation of Synge and Schild has been investigated in spaces with affine connection and metric. By means of a non-isotropic u vector field and the orthogonal to it metric h{sub u} a projected deviation equation of Synge and Schild has been obtained for the orthogonal to u vector field. For a given non-isotropic, autoparallel and normalized u vector field this equation could have in some special cases the form of an oscillator equation. 19 refs.
Authors:
Publication Date:
Dec 31, 1992
Product Type:
Technical Report
Report Number:
JINR-E-2-92-19
Reference Number:
SCA: 662110; PA: AIX-24:020171; SN: 93000946056
Resource Relation:
Other Information: PBD: 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FIELD EQUATIONS; RIEMANN SPACE; AFFINITY; GRAVITATIONAL WAVES; MATHEMATICAL MODELS; METRICS; ORTHOGONAL TRANSFORMATIONS; RICCI TENSOR; VECTOR FIELDS; NUMERICAL DATA; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10126207
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Country of Origin:
JINR
Language:
English
Other Identifying Numbers:
Other: ON: DE93616852; TRN: RU9207479020171
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[12] p.
Announcement Date:
Jul 04, 2005

Citation Formats

Manoff, S. Deviation equations of Synge and Schild in spaces with affine connection and metric, and equations for gravitational waves detectors. JINR: N. p., 1992. Web.
Manoff, S. Deviation equations of Synge and Schild in spaces with affine connection and metric, and equations for gravitational waves detectors. JINR.
Manoff, S. 1992. "Deviation equations of Synge and Schild in spaces with affine connection and metric, and equations for gravitational waves detectors." JINR.
@misc{etde_10126207,
title = {Deviation equations of Synge and Schild in spaces with affine connection and metric, and equations for gravitational waves detectors}
author = {Manoff, S}
abstractNote = {Deviation equation of Synge and Schild has been investigated in spaces with affine connection and metric. By means of a non-isotropic u vector field and the orthogonal to it metric h{sub u} a projected deviation equation of Synge and Schild has been obtained for the orthogonal to u vector field. For a given non-isotropic, autoparallel and normalized u vector field this equation could have in some special cases the form of an oscillator equation. 19 refs.}
place = {JINR}
year = {1992}
month = {Dec}
}