swMATH ID: 27185
Software Authors: Birkandan, Tolga; Güzelgün, Ceren; Şirin, Elif; Uslu, Mustafa Can
Description: Symbolic and numerical analysis in general relativity with open source computer algebra systems. We study three computer algebra systems, namely SageMath (with SageManifolds package), Maxima (with ctensor package) and Python language (with GraviPy module), which allow tensor manipulation for general relativity calculations along with general algebraic calculations. We present a benchmark of these systems using simple examples. After the general analysis, we focus on the SageMath and SageManifolds system to derive, analyze and visualize the solutions of the massless Klein-Gordon equation and geodesic motion with Hamilton-Jacobi formalism. We compare our numerical result of the Klein-Gordon equation with the asymptotic form of the analytical solution to see that they agree.
Homepage: https://github.com/tbirkandan/opensourceGR
Source Code:  https://github.com/tbirkandan/opensourceGR
Keywords: symbolic analysis; numerical analysis; wave equations; geodesic motion
Related Software: SageMath; Maxima; confluent_Heun_functions; SageManifolds; ctensor; GraviPy; GYOTO; GitHub; Redberry; Python; Cadabra
Cited in: 1 Publication

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