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Application of Cauchy Characteristic in General Relativity

Noruddin Ansari1

Section:Review Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.301-307, Dec-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.301307


Online published on Dec 31, 2018


Copyright © Noruddin Ansari . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Noruddin Ansari, “Application of Cauchy Characteristic in General Relativity,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.6, pp.301-307, 2018.

MLA Style Citation: Noruddin Ansari "Application of Cauchy Characteristic in General Relativity." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.6 (2018): 301-307.

APA Style Citation: Noruddin Ansari, (2018). Application of Cauchy Characteristic in General Relativity. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(6), 301-307.

BibTex Style Citation:
@article{Ansari_2018,
author = {Noruddin Ansari},
title = {Application of Cauchy Characteristic in General Relativity},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2018},
volume = {5},
Issue = {6},
month = {12},
year = {2018},
issn = {2347-2693},
pages = {301-307},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1009},
doi = {https://doi.org/10.26438/ijcse/v5i6.301307}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i6.301307}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1009
TI - Application of Cauchy Characteristic in General Relativity
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Noruddin Ansari
PY - 2018
DA - 2018/12/31
PB - IJCSE, Indore, INDIA
SP - 301-307
IS - 6
VL - 5
SN - 2347-2693
ER -

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Abstract :
This paper reveals the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress is traced from the early stage of 1D feasibility studies to current 3D black hole codes that run forever. A prime application of characteristic evolution is Cauchy-characteristic matching, which is also reviewed

Key-Words / Index Term :
Cauchy-characteristic, general relativity, 3D codes, Hypersurfaces, etc

References :
[1] Abrahams AM, Evans CR. Phys. Rev. D. 1990;42:2585–2594. doi: 10.1103/PhysRevD.42.2585.
[2] Abrahams AM, Price RH. Phys. Rev. D. 1996;53:1963–1971. doi: 10.1103/PhysRevD.53.1963.
[3] Abrahams AM, Shapiro SL, Teukolsky SA. Phys. Rev. D. 1995;51:4295–4301. doi: 10.1103/PhysRevD.51.4295.
[4] Alliance, The Binary Black Hole Grand Challenge, “Boosted Black Hole Evolution with Singularity Excision”, Phys. Rev. Lett., submitted, (1997).
[5] Alliance, The Binary Black Hole Grand Challenge, “Schwarzschild-perturbative gravitational wave extraction and outer boundary conditions”, Phys. Rev. Lett., submitted, (1997).
[6] Anderson JL. Phys. Rev. D. 1987;36:2301–2313. doi: 10.1103/PhysRevD.36.2301.
[7] Anderson JL, Hobill DW. Matched analytic-numerical solutions of wave equations. In: Centrella JM, editor. Dynamical Spacetimes and Numerical Relativity. Cambridge, New York: Cambridge University Press; 1986. pp. 389–410.
[8] Anderson JL, Hobill DW. Gen. Relativ. Gravit. 1987;19:563–580. doi: 10.1007/BF00762554.
[9] Anderson JL, Hobill DW. J. Comput. Phys. 1988;75:283–299. doi: 10.1016/0021-9991(88)90113-1.
[10] Anderson JL, Kates RE, Kegeles LS, Madonna RG. Phys. Rev. D. 1982;25:2038–2048. doi: 10.1103/PhysRevD.25.2038.
[11] Anninos P, Daues G, Massó J, Seidel E, Suen W-M. Phys. Rev. D. 1995;51:5562–5578. doi: 10.1103/PhysRevD.51.5562.
[12] Barreto W, Gómez R, Lehner L, Winicour J. Phys. Rev. D. 1996;54:3834–3839. doi: 10.1103/PhysRevD.54.3834.
[13] Bayliss A, Turkel E. Commun. Pure Appl. Math. 1980;33:707–725. doi: 10.1002/cpa.3160330603.
[14] Bishop N, Gómez R, Lehner L, Maharaj M, Winicour J. Phys. Rev. D. 1997;56:6298–6309. doi: 10.1103/PhysRevD.56.6298.
[15] Bishop NT. Some aspects of the characteristic initial value problem in numerical relativity. In: d’Inverno RA, editor. Approaches to Numerical Relativity. Cambridge; New York: Cambridge University Press; 1992. pp. 20–33.
[16] Bishop NT. Class. Quantum Grav. 1993;10:333–341. doi: 10.1088/0264-9381/10/2/015.
[17] Bishop NT, Gómez R, Holvorcem PR, Matzner RA, Papadopoulos P, Winicour J. Phys. Rev. Lett. 1996;76:4303–4306. doi: 10.1103/PhysRevLett.76.4303.
[18] Bishop NT, Gómez R, Holvorcem PR, Matzner RA, Papadopoulos P, Winicour J. J. Comput. Phys. 1997;136:140–167. doi: 10.1006/jcph.1997.5754.
[19] Bishop NT, Gómez R, Isaacson RA, Lehner L, Szilágyi B, Winicour J. Cauchy-characteristic matching. In: Bhawal B, Iyer BR, editors. On the Black Hole Trail. Dordrecht; Boston: Kluwer; 1999.
[20] Bishop NT, Gómez R, Lehner L, Winicour J. Phys. Rev. D. 1996;54:6153–6165. doi: 10.1103/PhysRevD.54.6153.
[21] Blaschak J, Kriegsmann G. J. Comput. Phys. 1988;77:109–139. doi: 10.1016/0021-9991(88)90159-3.
[22] Bondi H. Nature. 1960;186:535–535. doi: 10.1038/186535a0.
[23] Bondi H, van der Burg MGJ, Metzner AWK. Proc. R. Soc. London, Ser. A. 1962;269:21–52. doi: 10.1098/rspa.1962.0161.
[24] Burke WL. J. Math. Phys. 1971;12:401–418. doi: 10.1063/1.1665603.
[25] Butler DS. Proc. R. Soc. London, Ser. A. 1960;255:232–252. doi: 10.1098/rspa.1960.0065.
[26] Choptuik MW. ‘Critical’ behavior in massless scalar field collapse. In: d’Inverno RA, editor. Approaches to Numerical Relativity. Cambridge; New York: Cambridge University Press; 1992. p. 202.

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