GRTensorII

GRTensor II is a computer algebra package for performing calculations in the general area of differential geometry. Its purpose is the calculation of tensor components on curved spacetimes specified in terms of a metric or set of basis vectors. The package contains a library of standard definitions of a large number of commonly used curvature tensors, as well as the Newman-Penrose formalism. The standard object libraries are easily expandable by a facility for defining new tensors. Calculations can be carried out in spaces of arbitrary dimension, and in multiple spacetimes simultaneously. Though originally designed for use in the field of general relativity, GRTensorII is useful in many other fields. GRTensor II is not a stand alone package, but requires an algebraic engine. The program was originally developed for MapleV.GRTensorII runs with all versions of Maple, Maple V Release 3 to Maple 11. A limited version (GRTensorM) has been ported to Mathematica. GRTensor II and related software and documentation are distributed free of charge as an aide for both research and teaching.


References in zbMATH (referenced in 48 articles , 1 standard article )

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  1. Glaros, Michael; Gover, A. Rod; Halbasch, Matthew; Waldron, Andrew: Variational calculus for hypersurface functionals: singular Yamabe problem Willmore energies (2019)
  2. Shpiz, G.; Kryukov, A.: Canonical representation of polynomial expressions with indices (2019)
  3. Guha, Sarbari; Bhattacharya, Pinaki: Five-dimensional warped product space-time with time-dependent warping and a scalar field in the bulk (2018)
  4. Ayzenberg, Dimitry; Yunes, Nicolás: Black hole continuum spectra as a test of general relativity: quadratic gravity (2017)
  5. Gover, A. Rod; Waldron, Andrew: Renormalized volume (2017)
  6. Hellaby, Charles: Frame rotation in the Szekeres spacetimes (2017)
  7. Morlando, Fabrizio: Adjoint-based sensitivity analysis by panel methods and CAS (2017)
  8. Yagi, Kent; Yunes, Nicolás: Approximate universal relations among tidal parameters for neutron star binaries (2017)
  9. Babeti, Simona: On Robertson Walker solutions in noncommutative gauge gravity (2014)
  10. Lozanovski, C.: An example of non-Weyl preserving complex transformation (2014)
  11. Guha, Sarbari; Chakraborty, Subenoy: Five-dimensional warped product space-time with time-dependent warp factor and cosmology of the four-dimensional universe (2012)
  12. Johansson, Niklas; Naseh, Ali; Zojer, Thomas: Holographic two-point functions for 4d log-gravity (2012)
  13. Brewin, Leo: A brief introduction to \textttCadabra: a tool for tensor computations in general relativity (2010)
  14. Guha, Sarbari; Chakraborty, Subenoy: Brane cosmology and motion of test particles in five-dimensional warped product spacetimes (2010)
  15. Liu, Jiang; Li, Hongbo; Cao, Yuanhao: Simplification and normalization of indexed differentials involving coordinate transformation (2009)
  16. Birkandan, Tolga: A Newman-Penrose calculator for instanton metrics (2008)
  17. Den Hoogen, R. J. Van: Spherically symmetric solutions in macroscopic gravity (2008)
  18. Conti, Diego: Invariant forms, associated bundles and Calabi-Yau metrics (2007)
  19. Edgar, S. Brian; Machado Ramos, M. P.: Type 0 pure radiation metrics with a cosmological constant (2007)
  20. Edgar, S. Brian; Machado Ramos, M. P.: Obtaining a class of type (O) pure radiation metrics with a negative cosmological constant, using invariant operators (2007)

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