Computer algebra in gravity - INSPIRE

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Computer algebra in gravity

Christian Heinicke
(
- Cologne U.
)
,
Friedrich W. Hehl
(
- Cologne U.
)

May, 2001

10 pages

e-Print:

gr-qc/0105094 [gr-qc]

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Abstract: (arXiv)

We survey the application of computer algebra in the context of gravitational theories. After some general remarks, we show of how to check the second Bianchi-identity by means of the Reduce package Excalc. Subsequently we list some computer algebra systems and packages relevant to applications in gravitational physics. We conclude by presenting a couple of typical examples.

Note:

To appear in: Computer Algebra Handbook, J. Grabmeier, E. Kaltofen, V. Weisfennig, editors (Springer, Berlin 2001/2002)

References(9)

Figures(0)

The Evolution of distorted rotating black holes. 1: Methods and tests

Steven R. Brandt
(
- NCSA, Urbana and
- Illinois U., Urbana
)
,
Edward Seidel
(
- NCSA, Urbana and
- Illinois U., Urbana
)

- Phys.Rev.D 52 (1995) 856-869
•
e-Print:
- gr-qc/9412072
•
DOI:
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Second order black hole perturbations: A Computer algebra approach. 1. The Schwarzschild space-time

George Davies
(
- Queen's U., Kingston
)

e-Print:
- gr-qc/9810056

Colliding Gravitational Plane Waves With Noncollinear Polarization. 1

- J.Math.Phys. 28 (1987) 2155-2161
•
DOI:
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The Use of the algebraic programming in teaching general relativity

- Comput.Sci.Eng. 3 (2001) 65-70
•
e-Print:
- physics/9812004
•
DOI:
- 10.1109/5992.909005

The Newest release of the Ortocartan set of programs for algebraic calculations in relativity

Andrzej Krasinski
(
- Warsaw, Copernicus Astron. Ctr.
)

- Gen.Rel.Grav. 33 (2001) 145-161
•
e-Print:
- gr-qc/0005081
•
DOI:
- 10.1023/A:1002028019791

Algebraic computing: GR 15 Session A5(II)

Kayll Lake
(
- Queen's U., Kingston
)

•
e-Print:
- gr-qc/9803072

Computer algebra in gravity: Programs for nonRiemannian space-times. 1

Jose Socorro
(
- Cologne U. and
- Guanajuato U., FIMEE
)
,
Alfredo Macias
(
- Mexico City U., Iztapalapa
)
,
Friedrich W. Hehl
(
- Cologne U.
)

- Comput.Phys.Commun. 115 (1998) 264-283
•
e-Print:
- gr-qc/9804068
•
DOI:
- 10.1016/S0010-4655(98)00133-7

Searching for electrovac solutions to Einstein-Maxwell equations with the help of computer algebra system GRG-EC

S.I. Tertychny
(
- Moscow, VNIIFTRI
)

e-Print:
- gr-qc/9810057

A Quadratic curvature Lagrangian of Pawlowski and Raczka: A Finger exercise with MathTensor

e-Print:
- gr-qc/9601002