opensourceGR 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 Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Symbolic and numerical analysis in general relativity with open source computer algebra systems. Zbl 1409.83001Birkandan, Tolga; Güzelgün, Ceren; Şirin, Elif; Uslu, Mustafa Can 2019 Cited by 4 Authors 1 Birkandan, Tolga 1 Güzelgün, Ceren 1 Şirin, Elif 1 Uslu, Mustafa Can Cited in 1 Serial 1 General Relativity and Gravitation Cited in 4 Fields 1 Partial differential equations (35-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year