Simulation of quasi spherical gravitational waves in the characteristic formulation

Franyelit María Suárez Carreño, Luis Dionisio Rosales

Abstract


Introduction :A review is made of gravitational waves, their simulation and the methods used for their definitive detection in 2015. A comparison of electromagnetic waves with gravitational waves and the main technological efforts made over decades for their detection is presented. Objective:is to detect OG from massive black holes and galactic and extragalactic binary stars in a frequency range of 10-4 to 10-1 Hz. Materials and methods: Numerical methods used in its simulation are specified, emphasizing computational techniques used in recent years. Results:The boundary is placed at x = 2/3 and the parameters are used for the simulations shown in figures 3 and 4: number of points of the angular mesh Nq = Np = Nξ = 45, and for the radial mesh Nx = 100 , A = 10-3, Ra = 4, Rb = 7. Discussion:The simulations were carried out with a code programmed in FORTRAN 90 and run under the LINUX free software platform. The figures were generated with the Dx plotter under LINUX environment, allowed to evaluate the respective equations and give a satisfactory answer to the proposed objectives. Conclusions:it was possible to conclude that the detection of gravitational waves is possible, however it is necessary to improve the sensitivity, which will allow the detection of new events collecting information about sources three times more distant, and increasing the probability of detection.


Keywords


Gravitational waves, simulations, numerical methods

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References


Abbott, B. P.; Abbott, R.; Abbott, T. D.; Abernathy, M. R.; Acernese, F.; Ackley, K.; Adams, C.; Adams, T. et al. (1 de enero de 2016). “Astrophysical Implications of the Binary Black Hole Merger GW150914”. The Astrophysical Journal Letters 818 (2): L22. ISSN 2041-8205. doi:10.3847/2041-8205/818/2/L22. (Consultado el 24 de febrero de 2016).

Abbott, B.P. et al. (2016). “Observation of Gravitational Waves from a Binary Black Hole Merger”. Phys. Rev. Lett. 116: 061102. doi:10.1103/PhysRevLett.116.061102.

Astone P. “Search for gravitational wave bursts by the network of resonant detectors”, Classical Quantum Gravity, 19, 1367-1375 (2002).

Barish, Barry C.; Weiss, Rainer (octubre de 1999). “LIGO and the Detection of Gravitational Waves”. Physics Today 52 (10): 44. Bibcode:1999PhT....52j..44B. doi:10.1063/1.882861.

Barreto W., Da Silva A., Gómez R. , Lehner L., Rosales L., Winicour J. “The 3-dimensional Einstein-Klein-Gordon system in characteristic numerical relativity” Physical Review D 71 064028-064045 (2005).

Bishop N., Gómez R., Lehner L. y Winicour J. “Cauchy characteristic matching”, Phys. Rev. D, 54, 10 6153-1671 (1996).

Bishop N., Gómez R., Lehner L., Maharaj M. y Winicour J. “Incorporation of matter into characteristic numerical relativity”, Physical Review D 60, 2 24005-24015 (1999).

Bishop N., Gómez R. , Lehner L., Maharaj M. y Winicour J. “High-powered gravitational news”, Physical Review D, 56, 10 6298-6309 (1997).

Bondi H., van der Burg M. y Metzner A. “Gravitacional waves in general relativity”, Proc. R. Soc. London Ser. A, 269, 21-52 (1962).

Bunch, Bryan H; Hellemans, Alexander (abril de 2004). The History of Science and Technology. Houghton Mifflin Harcourt. p. 695. ISBN 978-0-618-22123-3.

Castelvecchi, Davide; “Einstein's gravitational waves found at last”. Nature News.doi:10.1038/nature.2016.19361. (Consultado en febrero de 2018). http://news.mit.edu/2016/second-time-ligo-detects-gravitational-waves-0615 For second time, LIGO detects gravitational waves. (consultado marzo de 2018)

Castelvecchi, Davide; Witze, Witze (11 de febrero de 2016). “Einstein's gravitational waves found at last”. Nature News. doi:10.1038/nature.2016.19361. Consultado el 11 de febrero de 2016.

Castelvecchi, Davide; Witze, Witze “Einstein's gravitational waves found at last”. Nature News. doi:10.1038/nature.2016.19361. (Consultado el 21 de febrero de 2016).

Clark, Stuart “Gravitational waves: scientists announce 'we did it!' – live. the Guardian”. (Consultado el 30 de Marzo de 2016).

Davies P. “The search for gravity waves”. Cambridge University Press 1980.

Gómez R., Lehner L., Papadopoulos P. y Winicour J. “The eth formalism in numerical relativity”, Classical Quantum Gravity, 14, 977-991 (1997).

Hariharan, P. (2007). Basics of Interferometry. Elsevier Inc. ISBN 0-12-373589-0.

Herrera L. , Hernandez Pastora J. L. “On the influence of gravitational radiation on a gyroscope”, Classical Quantum Gravity, 17, 3617-3626 (2000)

Rosales, L., Jarrouj, Y. y Serrano, O. “Simulación de ondas gravitacionales en coordenadas de Bondi--Sachs” Universidad Ciencia Y Tecnología11, 44, 2007.

Lazkoz R., Valiente Kroon J. A. “Ondas Gravitatorias”, Revista Mexicana de Física 49 (4) 384-390 (2003).

Lehner L. “A dissipative algorithm for wave-like equations in the characteristic formulation”, Journal of computational Physics, 149, 59-74 (1999).

LIGO Caltech. “About a LIGO”. (Consultado el 4 de enero de 2018).

LIGO Caltech. “About Aligo” (en inglés). Consultado el 16 de junio de 2016.

López M. A., Gaspar J. y Manzanares J. “Aplicación del método de diferencias finitas en el dominio del tiempo a la simulación del campo electromagnético usando Matlab”, Revista Mexicana de Física E 52 (1) 58-64 (2006).

Misner C. W., Thorne K., Wheeler J. A. “Gravitation”. Freeman, 1973.

Naeye, Robert “Gravitational Wave Detection Heralds New Era of Science”. Sky and Telescope. (Consultado el 21 de febrero de 2016).

Newman E. T. y Penrose R., J. Math. Phys. “Note on the Bondi-Metzner-Sachs Group” 7 , 863-872 (1966).

Newman E. T. y Penrose R., Phys. Rev. Lett. 15, 231 (1965).

Overbye, Dennis “Physicists Detect Gravitational Waves, Proving Einstein Right”. New York Times. Consultado el 20 de febrero de 2016).

Penrose R.“Asymptotic properties of fields and space-times”, Phys. Rev. Letter 10, 66-71 (1963).

Properties of the binary black hole merger GW150914, 23 de febrero de 2016.

Rowan S. y Hough J. “Gravitacional wave detection by interferometry (ground and space)”, Living Reviews, www.livingreviews.org (2000).

Weber J. “Evidence for discovery of gravitational radiation”, Physical Review Letters 22, 1320-1324 (1969). www.homepage. www.ligo.org.www.tama.org, www.virgo.org., www.geo.org




DOI: https://doi.org/10.31876/er.v3i29.601

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