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We give a pedagogical introduction of the essential features of General Theory of Relativity (GTR) in the format of an undergraduate (UG) project. A set of simple MATHEMATICA code is developed which enables the UG students to calculate the…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Tushar Kanti Dey , Surajit Sen

The status of experimental tests of general relativity and of theoretical frameworks for analysing them is reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the Eotvos experiment, tests of special…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Clifford M. Will

Motivated by the growing demand for low-precision arithmetic in computational science, we exploit lower-precision emulation in Python -- widely regarded as the dominant programming language for numerical analysis and machine learning.…

Machine Learning · Computer Science 2026-02-26 Erin Carson , Xinye Chen

GWR is a popular approach for investigating the spatial variation in relationships between response and predictor variables, and critically for investigating and understanding process spatial heterogeneity. The geographically weighted (GW)…

Applications · Statistics 2021-09-30 Alexis Comber , Chris Brunsdon , Martin Callaghan , Paul Harris , Binbin Lu , Nick Malleson

This article introduces MCNP-GO (https://github.com/afriou/mcnpgo), a Python package designed to manipulate and assemble MCNP input files, allowing users to assemble a set of independent objects, each described by a valid MCNP file, into a…

Computational Engineering, Finance, and Science · Computer Science 2025-07-09 Alexandre Friou

The ability to represent perturbative expansions of interacting quantum field theories in terms of simple diagrammatic rules has revolutionized calculations in particle physics (and elsewhere). Moreover, these rules are readily automated, a…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Sergio Sevillano Muñoz , Edmund J. Copeland , Peter Millington , Michael Spannowsky

We report on a new open-source, user-friendly numerical relativity code package called SENR/NRPy+. Our code extends previous implementations of the BSSN reference-metric formulation to a much broader class of curvilinear coordinate systems,…

General Relativity and Quantum Cosmology · Physics 2018-03-30 Ian Ruchlin , Zachariah B. Etienne , Thomas W. Baumgarte

A new, very general, robust procedure for combining estimators in metric spaces is introduced GROS. The method is reminiscent of the well-known median of means, as described in \cite{devroye2016sub}. Initially, the sample is divided into…

Statistics Theory · Mathematics 2024-02-26 Alejandro Cholaquidis , Emilien Joly , Leonardo Moreno

The successful miniaturisation of extremely accurate atomic clocks and atom interferometers invites prospects for satellite missions to perform precision experiments. We discuss the effects predicted by general relativity and alternative…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Ruxandra Bondarescu , Andreas Schärer , Philippe Jetzer , Raymond Angélil , Prasenjit Saha , Andrew Lundgren

The current effort to test General Relativity employs multiple disparate formalisms for different observables, obscuring the relations between laboratory, astrophysical and cosmological constraints. To remedy this situation, we develop a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-09 Tessa Baker , Dimitrios Psaltis , Constantinos Skordis

The Relativistic Motion Integrator (RMI) consists in integrating numerically the EXACT relativistic equations of motion, for a given metric (corresponding to a gravitational field at first post-Newtonian order or higher), instead of…

General Relativity and Quantum Cosmology · Physics 2012-07-04 S. Pireaux , B. Chauvineau , A. Hees

We revisit Coincident General Relativity (CGR) in the gauge approach to gravity based on Symmetric Teleparallel Equivalent to General Relativity (STEGR) in the {\it internal-space formulation}, which one of the authors recently proposed in…

General Relativity and Quantum Cosmology · Physics 2025-09-22 Kyosuke Tomonari , Taishi Katsuragawa , Shin'ichi Nojiri

X-ray astronomy is an important tool in the astrophysicist's toolkit to investigate high-energy astrophysical phenomena. Theoretical numerical simulations of astrophysical sources are fully three-dimensional representations of physical…

Instrumentation and Methods for Astrophysics · Physics 2015-02-18 John A. ZuHone , Veronica Biffi , Eric J. Hallman , Scott W. Randall , Adam R. Foster , Christian Schmid

The observation of gravitational waves with a global network of interferometric detectors such as advanced LIGO, advanced Virgo, and KAGRA will make it possible to probe into the nature of space-time structure. Besides Einstein's general…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Kazuhiro Hayama , Atsushi Nishizawa

Observations of gravitational waves (GWs) by the advanced LIGO--Virgo detectors provide us with ground breaking opportunities to test predictions of Einstein's theory of general relativity (GR) in the strong field regime. In this article,…

General Relativity and Quantum Cosmology · Physics 2022-04-05 Abhirup Ghosh

Numerical stability is a crucial requirement of reliable scientific computing. However, despite the pervasiveness of Python in data science, analyzing large Python programs remains challenging due to the lack of scalable numerical analysis…

Mathematical Software · Computer Science 2024-10-28 Yohan Chatelain , Nigel Yong , Gregory Kiar , Tristan Glatard

We extend to three dimensions the proposal of a completely relativistic positioning system (rPS). The system does not rely on approximations, in fact, it works at a few Schwarzschild radii from a black hole, and it does not rely on…

General Relativity and Quantum Cosmology · Physics 2023-09-06 S. Carloni , L. Fatibene , M. Ferraris , R. G. McLenaghan , A. Orizzonte

The increasing precision of cosmological data provides us with an opportunity to test general relativity (GR) on the largest accessible scales. Parameterizing modified gravity models facilitates the systematic testing of the predictions of…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-26 Ali Narimani , Douglas Scott

The Earth's geoid is one of the most essential and fundamental concepts to provide a gravity field-related height reference in geodesy and associated sciences. To keep up with the ever-increasing experimental capabilities and to…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Dennis Philipp , Eva Hackmann , Claus Lämmerzahl , Jürgen Müller

The wolensing Python package offers a solution for gravitational wave lensing computations within the full wave-optics regime. This tool is primarily designed to calculate the gravitational lensing amplification factor including diffractive…

Instrumentation and Methods for Astrophysics · Physics 2024-10-29 Simon M. C. Yeung , Mark H. Y. Cheung , Miguel Zumalacarregui , Otto A. Hannuksela