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xAct Implementation of the Theory of Cosmological Perturbation in Bianchi I Spacetimes

Author

Listed:
  • Ivan Agullo

    (Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA)

  • Javier Olmedo

    (Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA)

  • Vijayakumar Sreenath

    (Department of Physics, National Institute of Technology Karnataka, Surathkal, Mangaluru 575025, India)

Abstract

This paper presents a computational algorithm to derive the theory of linear gauge invariant perturbations on anisotropic cosmological spacetimes of the Bianchi I type. Our code is based on the tensor algebra packages xTensor and xPert, within the computational infrastructure of xAct written in Mathematica. The algorithm is based on a Hamiltonian, or phase space formulation, and it provides an efficient and transparent way of isolating the gauge invariant degrees of freedom in the perturbation fields and to obtain the Hamiltonian generating their dynamics. The restriction to Friedmann–Lemaître–Robertson–Walker spacetimes is straightforward.

Suggested Citation

  • Ivan Agullo & Javier Olmedo & Vijayakumar Sreenath, 2020. "xAct Implementation of the Theory of Cosmological Perturbation in Bianchi I Spacetimes," Mathematics, MDPI, vol. 8(2), pages 1-19, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:290-:d:323164
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