for Einstein

Tensor calculation system designed after the fashion of FORMAC and written in it

Thorne and Zimmerman Caltech 1969

Related languages
FORMAC => ALBERT   Extension of

  • J. Fletcher, R. Clemens, R. Matzner, K.S. Thorne, and B.A. Zimmerman, "Computer Programs for Calculating General Relativistic Curvature Tensors," Astrophysical Journal, 148, L91-L92 (1967). view details
  • K.S. Thorne and A. Campolattaro, "Nonradial Pulsations of General Relativistic Stellar Models - I. Analytic Analysis 1," for l>=2 Astrophysical Journal, 149 , 591-611 (1967); ibid., 152, 673 (1968). view details
  • K.S. Thorne and B.A. Zimmerman, "'ALBERT', A Package of Four Computer Programs for Calculating General Relativistic Curvature Tensors and Equations of Motion," Grape Aide Technical Report, California Institute of Technology, August 1967. view details Abstract: This report is a user?s manual for ALBERT, a package of four Caltech computer programs which calculate analytic expressions for general relativistic curvature tensors and equations of motion. The input data for ALBERT are analytic forms for the covariant and contravariant components of the metric tensor. g subscript ab and g superscript ah, and for the mixed components of the stress-energy tensor, W subscript a, superscript h. The output variable at the discretion of the user, includes analytic expressions for the equations of motion. W subscript a, superscript h: subscript h = 0; for the Christoffel symbols. (Gamma subscript abc) and (Gamma subscript ab superscript c): for the Riemann tensor. R subscript abcd, for the Ricci tensor, R superscript a subscript b: for the Einstein tensor. O superscript a subscript b, and for the Ricci scalar, R. ALBERT should be usable, without modification, on any computer which has a FORMAC compiler. A complete listing of the programs in ALBERT are included in this report.
  • Thorne, K.S., and Campolattaro, A. Astrophys. J. 159 1970 pp847-858 view details
  • Barton, D. and Fitch, J.P. "General Relativity and the Application of Algebraic Manipulative Systems" view details
          in [ACM] CACM 14(08) August 1971 view details