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
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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.