pith. machine review for the scientific record. sign in

arxiv: 0807.0824 · v1 · submitted 2008-07-06 · 🌀 gr-qc

Recognition: unknown

xPert: Computer algebra for metric perturbation theory

David Brizuela , Jose M. Martin-Garcia , Guillermo A. Mena Marugan
Authors on Pith no claims yet
classification 🌀 gr-qc
keywords perturbationalgebracomputermetricsystemtensortheorytimings
0
0 comments X
read the original abstract

We present the tensor computer algebra package xPert for fast construction and manipulation of the equations of metric perturbation theory, around arbitrary backgrounds. It is based on the combination of explicit combinatorial formulas for the n-th order perturbation of curvature tensors and their gauge changes, and the use of highly efficient techniques of index canonicalization, provided by the underlying tensor system xAct, for Mathematica. We give examples of use and show the efficiency of the system with timings plots: it is possible to handle orders n=4 or n=5 within seconds, or reach n=10 with timings below 1 hour.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Gravitational edge mode powers galaxy flat rotation curves

    gr-qc 2026-04 unverdicted novelty 7.0

    Gravitational edge modes from spacetime surgery act as effective dark matter by flattening galaxy rotation curves through modified particle trajectories.

  2. Quantum gravity contributions to the gauge and Yukawa couplings in proper time flow

    hep-ph 2026-04 unverdicted novelty 6.0

    Quantum gravity contributions to the beta functions of gauge and Yukawa couplings are derived via the Schwinger proper-time flow equation; their dependence on gauge fixing and regulators is quantified at gravity's int...

  3. Cosmological zoom-in perturbation theory as a consistent beyond point-particle approximation framework

    astro-ph.CO 2026-04 unverdicted novelty 6.0

    A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves wit...

  4. Theoretical and Observational Bounds on Dynamical Chern-Simons Gravity as an Effective Field Theory

    hep-th 2026-04 unverdicted novelty 5.0

    Dynamical Chern-Simons gravity is bounded by causality and perturbativity to produce only tiny corrections on macroscopic gravitational systems.

  5. Gravitational edge mode powers galaxy flat rotation curves

    gr-qc 2026-04 unverdicted novelty 5.0

    Spacetime backreaction derived from gluing spacetime sheets across matter horizons modifies particle trajectories to source flat galaxy rotation curves.