A Computer Program for the Newman-Janis Algorithm
Author(s)
Carlos Gutiérrez-Chávez1,
Francisco Frutos-Alfaro2,
Iván Cordero-García3,
Javier Bonatti-González4
Affiliation(s)
1 Technological Institute of Costa Rica, Cartago, Costa Rica. 2 Space Research Center and School of Physics, University of Costa Rica, San José, Costa Rica. 3 School of Physics, University of Costa Rica, San José, Costa Rica. 4 Nuclear Research Center and School of Physics, University of Costa Rica, San José, Costa Rica.
1 Technological Institute of Costa Rica, Cartago, Costa Rica. 2 Space Research Center and School of Physics, University of Costa Rica, San José, Costa Rica. 3 School of Physics, University of Costa Rica, San José, Costa Rica. 4 Nuclear Research Center and School of Physics, University of Costa Rica, San José, Costa Rica.
ABSTRACT
A REDUCE code for the Newman-Janis algorithm is described. This algorithm is intended to include rotation into nonrotating solutions of the Einstein field equations with spherically symmetry or perturbed spherically symmetry and has been successfully applied to many spacetimes. The applicability of the code is restricted to metrics containing potentials of the form 1/r.
A REDUCE code for the Newman-Janis algorithm is described. This algorithm is intended to include rotation into nonrotating solutions of the Einstein field equations with spherically symmetry or perturbed spherically symmetry and has been successfully applied to many spacetimes. The applicability of the code is restricted to metrics containing potentials of the form 1/r.
Cite this paper
Gutiérrez-Chávez, C. , Frutos-Alfaro, F. , Cordero-García, I. and Bonatti-González, J. (2015) A Computer Program for the Newman-Janis Algorithm. Journal of Modern Physics, 6, 2226-2230. doi: 10.4236/jmp.2015.615227.
Gutiérrez-Chávez, C. , Frutos-Alfaro, F. , Cordero-García, I. and Bonatti-González, J. (2015) A Computer Program for the Newman-Janis Algorithm. Journal of Modern Physics, 6, 2226-2230. doi: 10.4236/jmp.2015.615227.
References
[1] Newman, E.T. and Janis, A.I. (1965) Journal of Mathematical Physics, 6, 915-917.
http://dx.doi.org/10.1063/1.1704350 [2] d’Inverno, R. (1992) Introducing Einstein’s Relativity. Oxford University Press, USA. [3] Schwarzschild, K. (1916) Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften, 7, 189-196. [4] Kerr, R.P. (1963) Physical Review Letters, 11, 237-238.
http://dx.doi.org/10.1103/PhysRevLett.11.237 [5] Newman, E.T., Couch, E., Chinnapared, K., Exton, A., Prakash, A. and Torrence, R. (1965) Journal of Mathematical Physics, 6, 918-919. http://dx.doi.org/10.1063/1.1704351 [6] Reissner, H. (1916) Annalen der Physik, 50, 106-120.
http://dx.doi.org/10.1002/andp.19163550905 [7] Nordstrøm, G. (1918) Verhandelingen der Koninklijke Nederlandse Akademie van Wetenschappen, 20, 1238-1245. [8] Demiański, M. and Newman, E.T. (1966) Bulletin de l Académie Polonaise des Sciences, 14, 653-657. [9] Taub, A.H. (1951) Annals of Mathematics (Second Series), 53, 472-490.
http://dx.doi.org/10.2307/1969567 [10] Newman, E., Tamburino, L. and Unti, T. (1963) Journal of Mathematical Physics, 4, 915-923.
http://dx.doi.org/10.1063/1.1704018 [11] Talbot, C.J. (1969) Communications in Mathematical Physics, 13, 45-61.
http://dx.doi.org/10.1007/BF01645269 [12] Quevedo, H. (1992) General Relativity and Gravitation, 24, 693-703.
http://dx.doi.org/10.1007/BF00760076 [13] Flaherty, E.J. (1976) Hermitian and Kählerian Geometry in Relativity (Lecture Notes in Physics 46). Springer-Verlag, Berlin.
http://dx.doi.org/10.1007/3-540-07540-2 [14] Kim, H. (1999) Physical Review D, 59, Article ID: 064002. [15] Ibohal, N. (2005) General Relativity and Gravitation, 37, 19-51.
http://dx.doi.org/10.1007/s10714-005-0002-6 [16] Krori, K.D. and Bhattacharjee, D.R. (1982) Journal of Mathematical Physics, 23, 637-638.
http://dx.doi.org/10.1063/1.525401 [17] Janis, A.I., Newman, E.T. and Winicour, J. (1968) Physical Review, 20, 878-880. [18] Hearn, A.C. (1999) REDUCE (User’s and Contributed Packages Manual). Konrad-Zuse-Zentrum für Informationstechnik, Berlin. [19] Drake, S.P. and Szekeres, P. (2000) General Relativity and Gravitation, 32, 445-458.
http://dx.doi.org/10.1023/A:1001920232180 [20] Glass, E.N. and Krisch, J.P. (2004) Classical and Quantum Gravity, 21, 5543.
http://dx.doi.org/10.1088/0264-9381/21/23/015 [21] Boyer, R.H. and Lindquist, R.W. (1967) Journal of Mathematical Physics, 8, 265-281.
http://dx.doi.org/10.1063/1.1705193
[1] Newman, E.T. and Janis, A.I. (1965) Journal of Mathematical Physics, 6, 915-917.
http://dx.doi.org/10.1063/1.1704350 [2] d’Inverno, R. (1992) Introducing Einstein’s Relativity. Oxford University Press, USA. [3] Schwarzschild, K. (1916) Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften, 7, 189-196. [4] Kerr, R.P. (1963) Physical Review Letters, 11, 237-238.
http://dx.doi.org/10.1103/PhysRevLett.11.237 [5] Newman, E.T., Couch, E., Chinnapared, K., Exton, A., Prakash, A. and Torrence, R. (1965) Journal of Mathematical Physics, 6, 918-919. http://dx.doi.org/10.1063/1.1704351 [6] Reissner, H. (1916) Annalen der Physik, 50, 106-120.
http://dx.doi.org/10.1002/andp.19163550905 [7] Nordstrøm, G. (1918) Verhandelingen der Koninklijke Nederlandse Akademie van Wetenschappen, 20, 1238-1245. [8] Demiański, M. and Newman, E.T. (1966) Bulletin de l Académie Polonaise des Sciences, 14, 653-657. [9] Taub, A.H. (1951) Annals of Mathematics (Second Series), 53, 472-490.
http://dx.doi.org/10.2307/1969567 [10] Newman, E., Tamburino, L. and Unti, T. (1963) Journal of Mathematical Physics, 4, 915-923.
http://dx.doi.org/10.1063/1.1704018 [11] Talbot, C.J. (1969) Communications in Mathematical Physics, 13, 45-61.
http://dx.doi.org/10.1007/BF01645269 [12] Quevedo, H. (1992) General Relativity and Gravitation, 24, 693-703.
http://dx.doi.org/10.1007/BF00760076 [13] Flaherty, E.J. (1976) Hermitian and Kählerian Geometry in Relativity (Lecture Notes in Physics 46). Springer-Verlag, Berlin.
http://dx.doi.org/10.1007/3-540-07540-2 [14] Kim, H. (1999) Physical Review D, 59, Article ID: 064002. [15] Ibohal, N. (2005) General Relativity and Gravitation, 37, 19-51.
http://dx.doi.org/10.1007/s10714-005-0002-6 [16] Krori, K.D. and Bhattacharjee, D.R. (1982) Journal of Mathematical Physics, 23, 637-638.
http://dx.doi.org/10.1063/1.525401 [17] Janis, A.I., Newman, E.T. and Winicour, J. (1968) Physical Review, 20, 878-880. [18] Hearn, A.C. (1999) REDUCE (User’s and Contributed Packages Manual). Konrad-Zuse-Zentrum für Informationstechnik, Berlin. [19] Drake, S.P. and Szekeres, P. (2000) General Relativity and Gravitation, 32, 445-458.
http://dx.doi.org/10.1023/A:1001920232180 [20] Glass, E.N. and Krisch, J.P. (2004) Classical and Quantum Gravity, 21, 5543.
http://dx.doi.org/10.1088/0264-9381/21/23/015 [21] Boyer, R.H. and Lindquist, R.W. (1967) Journal of Mathematical Physics, 8, 265-281.
http://dx.doi.org/10.1063/1.1705193