Reference Frame and Lorentz Transformation

Aleks Kleyn

Reference Frame and Lorentz Transformation

Aleks Kleyn *

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Reference Frame and Lorentz Transformation

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Abstract

Generalization of an idea may lead to very interesting result. I considered in the paper the concept of reference frame in general relativity and geometry of metric- affinne manifold. Using this concept I learn few physical applications: Lorentz transformation in gravitational fields, Doppler shift. A reference frame in event space is a smooth field of orthonormal bases. Every reference frame is equipped by anholonomic coordinates. Using anholonomic coordinates allows to find out relative speed of two observers and appropriate Lorentz transformation. Synchronization of a reference frame is an anholonomic time coordinate. Simple calculations show how synchronization influences time measurement in the vicinity of the Earth. Measurement of Doppler shift from the star orbiting the black hole helps to determine mass of the black hole. According observations of Sgr A, if non orbiting observer estimates age of S2 about 10 Myr, this star is 0.297 Myr younger. We call a manifold with torsion the metric-affine manifold. We cannot draw closed parallelogram in event space, if there exists torsion. Learning how torsion influences on tidal force reveals similarity between tidal equation for geodesic and the Killing equation of second type. The relationship between tidal acceleration, curvature and torsion gives an opportunity to measure torsion.

References

10 Cites in Article

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1. Ghez al (2003). The First Measurement of Spectral Lines in a Short-Period Star Bound to the Galaxy’s Central Black Hole: A Paradox of Youth.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Aleks Kleyn. . "Reference Frame and Lorentz Transformation". Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 13 (GJSFR Volume 13 Issue 2 (A1)).

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GJSFR Volume 13 Issue 2 (A1)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

anholonomic coordinates observers and appropriate Lorentz transformation

Classification

GJSFR-A Classification FOR Code: 029904

029999

Submission ReceivedOctober 13, 2012
Peer Review Double Blind
Handling Editor
Accepted November 6, 2012
Published January 21, 2013

Version of record

v1.2

Issue date

January 21, 2013

Language

English

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Article Matrices

Total Score: 136

Country: United States

Subject: Global Journal of Science Frontier Research - A: Physics & Space Science

Authors: Dr. Aleks Kleyn (PhD/Dr. count: 1)

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Publish Date: 2013 01, Mon

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