Vol. 6 No. 1 (2014), SECTION A: EXACT SCIENCES
Vol. 6 No. 1 (2014)

Calculation of radar signals delay to second order in the frame of the General Relativity Theory

SECTION A: EXACT SCIENCES
Published 2014-06-13
Joaquín Valerio Grefa
Universidad San Francisco de Quito
Carlos A. Marín
Universidad San Francisco de Quito
Portada: Volumen 6 - Número 1
PDF (Spanish)

Keywords

general relativity
light deflection
Einstein
black hole
pulsar

How to Cite

Grefa, J. V., & Marín, C. A. (2014). Calculation of radar signals delay to second order in the frame of the General Relativity Theory. ACI Avances En Ciencias E Ingenierías, 6(1). https://doi.org/10.18272/aci.v6i1.147
ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver

Download Citation

Endnote/Zotero/Mendeley (RIS) BibTeX
Crossref
Scopus
Google Scholar
Europe PMC

Abstract

From the Schwarzschild metric, the light delay due to a gravitational field is calculated to second order approximation in the gravitational potential. We analize the contribution of the second order terms for strong gravitational fields as the generated for black holes from stellar collapse and supermassive blackholes. Additionally, the angular dependence of the delay for a distant source as a pulsar is reviewed.

PDF (Spanish)

References

Shapiro, I. 1964. "Fourth Test of General Relativity." Phys. Rev. Lett. Vol. 13-No. 26.

Shapiro, I. 1999. "A Century of Relativity." Rev. Mod. Phys. Vol. 71-No. 2, March, p. S41-S53.

Shapiro, I. 1968. "Fourth Test of General Relativity: Preliminary Results."Phys. Rev. Lett. Vol. 20-No.22.

Shapiro, I. 1971. "Fourth Test of General Relativity: New Radar Results." Phys. Rev. Lett. Vol. 26-No.18.

Will, C. 1993. "Theory and Experiment in Gravitational Physics." Cambridge University Press, Cambridge, UK.

Marín, C. 2011. "La Expansión del Universo, Una Introducción a Cosmología, Relatividad General y Física de Partículas, Segunda Edición." USFQ.

Kenyon. I. R. 1996. "General Relativity." Oxford University Press.

Reasenberg, R. D. et al. 1979. "Viking Relativity Experiment: Verification of Signal Retardation by Solar Gravity." ApJ. Lett. Vol. 234, p. L219-L221.

Krisher, T. et al. 1991. "Voyager 2 Test of Radar Time - Delay Effect." ApJ. Vol. 373, p. 665-670.

Bertoti, B. ; Less, L. ; Tortora, P. 2003. "A Test of General Relativity using Radio Links with the Cassini Spacecraft."Nature, Vol. 425.

Particle Data Group 2012. "Particle Physics Booklet." APS.

Ohanian, H. C. 1976. "Gravitation and Spacetime." W. W. Norton & Company, Inc.

Maggiore, M. 2007. "Gravitational Waves: Vol. 1: Theory and Experiments." Oxford University Press.

Copyright notice

Authors who publish in the journal ACI Avances en Ciencias e Ingenierías accept the following terms:

  1. The authors will retain their copyright and guarantee the journal the right of first publication of their work, which will be simultaneously subject to the Creative Commons Attribution License that allows third parties to share the work provided that its author and its first publication in this journal is indicated.
  2. Authors may adopt other non-exclusive license agreements for the distribution of the published version of the work, thereby being able to publish it in a monographic volume or reproduce it in other ways, provided that the initial publication in this journal is indicated.
  3. Authors are permitted and advised to disseminate their work over the Internet:
    1. Before submission to the journal, authors can deposit the manuscript in pre-publication files/repositories (preprint servers/repositories), including arXiv, bioRxiv, figshare, PeerJ Preprints, SSRN, and others, which can produce interesting exchanges and increase citations of the published work (see The effect of open access).
    2. After submission, it is recommended that authors deposit their article in their institutional repository, personal website, or scientific social network (such as Zenodo, ResearchGate or edu).