{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualizing Frame Dragging in Kerr Spacetime\n", "\n", "### Importing required modules" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "from einsteinpy.geodesic import Nulllike\n", "from einsteinpy.plotting import StaticGeodesicPlotter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setting up the system\n", " - Initial position & momentum of the test partcle\n", " - Spin of the Kerr Black Hole\n", " - Other solver parameters\n", " \n", "Note that, we are working in _M_-Units ($G = c = M = 1$). Also, setting momentum's $\\phi$-component to negative, implies an initial retrograde trajectory." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "position = [2.5, np.pi / 2, 0.]\n", "momentum = [0., 0., -2.]\n", "a = 0.99\n", "end_lambda = 150.\n", "step_size = 0.0005" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculating the geodesic, using the Julia back-end" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "e:\\coding\\gsoc\\github repos\\myfork\\einsteinpy\\src\\einsteinpy\\geodesic\\utils.py:307: RuntimeWarning:\n", "\n", "Test particle has reached the Event Horizon. \n", "\n" ] } ], "source": [ "geod = Nulllike(\n", " position=position,\n", " momentum=momentum,\n", " a=a,\n", " end_lambda=end_lambda,\n", " step_size=step_size,\n", " return_cartesian=True,\n", " julia=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting the geodesic in 2D" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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