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General Relativity (GR) is shown to be a complete theory with respect to the isochrony of the pendulum. This guarantees that time can be measured with a mechanical clock within the theory itself as a matter of principle. The proper and…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Miguel A. Martin-Delgado

A short review will be made of elliptic integrals, widely applied in GPS (Global Positioning System) communications (accounting for General Relativity Theory-effects), cosmology, Black hole physics and celestial mechanics. Then a novel…

General Relativity and Quantum Cosmology · Physics 2023-01-03 Bogdan G. Dimitrov

Polarized Resonant Soft X-ray scattering (P-RSoXS) has emerged as a powerful synchrotron-based tool that combines principles of X-ray scattering and X-ray spectroscopy. P-RSoXS provides unique sensitivity to molecular orientation and…

Adaptive mesh refinement efficiently facilitates the computation of gravitational waveforms in numerical relativity. However, determining precisely when, where, and to what extent to refine when solving the Einstein equations poses…

General Relativity and Quantum Cosmology · Physics 2025-07-24 William K. Black , David Neilsen , Eric W. Hirschmann , David F. Van Komen , Milinda Fernando

qcombo is a Python package for the symbolic evaluation of commutators between general quantum many-body operators expressed in normal-ordered form using the generalized Wick theorem. The package provides an automated and systematic…

Nuclear Theory · Physics 2026-03-26 L. H. Chen , Y. Li , H. Hergert , J. M. Yao

This paper is a pedagogical introduction to models of gravity and how to constrain them through cosmological observations. We focus on the Horndeski scalar-tensor theory and on the quantities that can be measured with a minimum of…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-27 Luca Amendola , Dario Bettoni , Ana Marta Pinho , Santiago Casas

Recently, in a series of papers, we established the existence and found a general solution for the simultaneously rotating and twisting locally rotationally symmetric spacetimes in general relativity, which can model inhomogeneous and…

General Relativity and Quantum Cosmology · Physics 2017-09-25 Sayuri Singh , Amare Abebe , Rituparno Goswami , Sunil D. Maharaj

General relativity offers a classical description to gravitation and spacetime, and is a cornerstone for modern physics. It has passed a number of empirical tests with flying colours, mostly in the weak-gravity regimes, but nowadays also in…

General Relativity and Quantum Cosmology · Physics 2023-10-06 Lijing Shao

Gravity whose nature is fundamental to the understanding of solar system, galaxies and the structure and evolution of the Universe, is theorized by the assumption of curved spacetime, according to Einstein`s general theory of relativity…

Astrophysics · Physics 2007-10-22 Jin He

We introduce Magrathea-Pathfinder, a relativistic ray-tracing framework that can reconstruct the past light cone of observers in cosmological simulations. The code directly computes the 3D trajectory of light rays through the null geodesic…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-24 Michel-Andrès Breton , Vincent Reverdy

The Gromov-Wasserstein (GW) problem, a variant of the classical optimal transport (OT) problem, has attracted growing interest in the machine learning and data science communities due to its ability to quantify similarity between measures…

Machine Learning · Computer Science 2025-03-25 Yikun Bai , Abihith Kothapalli , Hengrong Du , Rocio Diaz Martin , Soheil Kolouri

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

General Relativity and Quantum Cosmology · Physics 2016-10-19 Clifford M. Will

In this review we aim to describe the most stringent tests of the strong equivalence principle, the fundamental principle of General Relativity, using pulsar timing. For this purpose, we first construct the parametrized post-Newtonian and…

General Relativity and Quantum Cosmology · Physics 2019-06-10 Cyril Renevey

We introduce new modules in the open-source PyCBC gravitational- wave astronomy toolkit that implement Bayesian inference for compact-object binary mergers. We review the Bayesian inference methods implemented and describe the structure of…

Instrumentation and Methods for Astrophysics · Physics 2019-01-23 C. M. Biwer , Collin D. Capano , Soumi De , Miriam Cabero , Duncan A. Brown , Alexander H. Nitz , V. Raymond

As a star orbits the center of its host galaxy, the trajectory is encompassed within a 3D toroid. The orbit probes all points in this toroid, unless its orbital frequencies exhibit integer ratios (commensurate frequencies), in which case a…

Astrophysics of Galaxies · Physics 2025-05-22 Subhadeep Sarkar , Michael S. Petersen

The detection of gravitational waves by the LIGO-Virgo-KAGRA collaboration has ushered in a new era of observational astronomy, emphasizing the need for rapid and detailed parameter estimation and population-level analyses. Traditional…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Bo Liang , He Wang

Artificial intelligence (AI) is revolutionizing numerous fields, with increasing applications in Global Navigation Satellite Systems (GNSS) positioning algorithms in intelligent transportation systems (ITS) via deep learning. However, a…

Machine Learning · Computer Science 2024-09-23 Runzhi Hu , Penghui Xu , Yihan Zhong , Weisong Wen

In Einstein's general relativity (GR), gravity is described by a massless spin-2 metric field, and the extension of GR to include a mass term for the graviton has profound implication for gravitation and cosmology. Besides the gravity…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Lijing Shao

GMRES is a powerful numerical solver used to find solutions to extremely large systems of linear equations. These systems of equations appear in many applications in science and engineering. Here we demonstrate a real-time machine learning…

Computational Physics · Physics 2021-03-23 Kevin Luna , Katherine Klymko , Johannes P. Blaschke

We present a fast and user friendly exoplanet transit light curve modelling package PyTransit, implementing optimised versions of the Gimen\'ez and the Mandel & Agol transit models. The package offers an object-oriented Python interface to…

Earth and Planetary Astrophysics · Physics 2015-04-29 Hannu Parviainen