jadrian1700/SdS-EMRI-dynamics: "EMRIs in SdS Spacetime I"

Release Title: v1.0.0-beta: Code for "EMRIs in SdS Spacetime I"

Tag version: v1.0.0

Description

This release contains the Mathematica notebooks and numerical scripts used to generate the results and figures presented in the manuscript:

"Extreme-mass ratio inspirals in Schwarzschild-de Sitter spacetime I: Weak-field orbits" John Adrian N. Villanueva and Ian Vega (2026)

Key Contents

• Orbital Integration: Scripts for solving the geodetic equations in SdS spacetime using the osculating orbit method.
• Separatrix Calculation: Tools for mapping the 2D separatrix surface in $(p, e, \lambda)$ parameter space.
• Waveform Generation: Implementation of the modified quadrupole formula for SdS backgrounds to produce adiabatic GW signals.
• Flux Comparison: Numerical verification comparing weak-field energy fluxes against strong-field benchmarks.

Usage

The primary notebooks are formatted to run in Mathematica 12.0 or later. Please refer to the README.md for specific instructions on reproducing Figure 7 (Phase-plane flows) and Figure 10 (Orbital trajectories).