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The rapid rise of scientific machine learning (SciML) has expanded the role of differentiable modeling, surrogate modeling, and data-driven constitutive laws in large-scale simulation. The JAX framework provides an attractive environment…

Mathematical Software · Computer Science 2026-04-27 Alberto Cattaneo , M Keith Ballard , Robert M. Kirby , Varun Shankar

We propose a novel and comprehensive particle physics framework that addresses multiple cosmological tensions observed in recent measurements of the Hubble parameter, $S_8$, and Lyman-$\alpha$ forest data. Our model, termed `{\bf…

High Energy Physics - Phenomenology · Physics 2024-10-10 Wonsub Cho , Ki-Young Choi , Satyabrata Mahapatra

Here we are starting the study of the field equations of relativistic scalar tensor theories in the spherically symmetric gravitational field. In the present article we shall consider as an example only the simplest Jordan-Brans-Dicke (JBD)…

General Relativity and Quantum Cosmology · Physics 2008-08-26 S. M. Kozyrev

We construct new classes of the dynamical black hole solutions in five or higher dimensional Einstein-Maxwell theory, coupled to a dilaton field, in the presence of arbitrary cosmological constant. The dilaton field interacts non-trivially…

General Relativity and Quantum Cosmology · Physics 2025-01-15 B. H. Fahim , A. M. Ghezelbash

An alternative to the postulate of dark energy required to explain the accelerated expansion of the universe is to adopt an inhomogeneous cosmological model to explain the supernovae data without dark energy. We adopt a void cosmology…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-02 J. W. Moffat

The big bang quantum cosmology model introduces the trace $J$ of the Schouten tensor as a form of dynamic dark energy. Together with cold dark matter, these components form the so-called $J$CDM cosmology model, proposed by M.H.P.M. van…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-07 Yicheng Wang , Yupeng Yang , Xinyi Dai , Shuangxi Yi , Yankun Qu , Fayin Wang

We study the gravitational instability of a general relativistic complex scalar field with a quartic self-interaction in an infinite homogeneous static background. This quantum relativistic Jeans problem provides a simplified framework to…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Abril Suárez , Pierre-Henri Chavanis

We study the evolution of cosmological perturbations, using a hybrid approximation scheme which upgrades the weak-field limit of Einstein's field equations to account for post-Newtonian scalar and vector metric perturbations and for…

Astrophysics · Physics 2007-05-23 Carmelita Carbone , Sabino Matarrese

This paper introduces a hybrid numerical scheme for the fuzzy dark matter model: It combines a wave-based approach to solve the Schr\"odinger equation using Fourier continuations with Gram polynomials and a fluid-based approach to solve the…

Instrumentation and Methods for Astrophysics · Physics 2025-07-01 Alexander Kunkel , Hei Yin Jowett Chan , Hsi-Yu Schive , Hsinhao Huang , Pin-Yu Liao

Using Hamilton-Jacobi theory, we develop a formalism for solving semi-classical cosmological perturbations which does not require an explicit choice of time-hypersurface. The Hamilton-Jacobi equation for gravity interacting with matter…

Astrophysics · Physics 2010-11-01 D. S. Salopek , J. M. Stewart

We introduce JAX MD, a software package for performing differentiable physics simulations with a focus on molecular dynamics. JAX MD includes a number of physics simulation environments, as well as interaction potentials and neural networks…

Computational Physics · Physics 2020-12-04 Samuel S. Schoenholz , Ekin D. Cubuk

This work presents a deep learning-based framework for the solution of partial differential equations on complex computational domains described with computer-aided design tools. To account for the underlying distribution of the training…

Computational Engineering, Finance, and Science · Computer Science 2022-03-18 Moritz von Tresckow , Stefan Kurz , Herbert De Gersem , Dimitrios Loukrezis

We present a major upgrade of MGCAMB, a patch for the Einstein-Boltzmann solver CAMB used for phenomenological tests of general relativity against cosmological datasets. This new version is compatible with the latest CosmoMC code and…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-08 Alex Zucca , Levon Pogosian , Alessandra Silvestri , Gong-Bo Zhao

We present an exact analytical solution of the Einstein equations with cosmological constant in a spatially flat Robertson-Walker metric. This is interpreted as an isotropic Lemaitre-type version of the cosmological Friedmann model.…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Ion I. Cotaescu , Dumitru N. Vulcanov

Context. Simulating solar flares, which involve large-scale dynamics and small-scale magnetic reconnection, poses significant computational challenges. Aims. This study aims to develop an explicit Particle-In-Cell (PIC) solver within the…

Solar and Stellar Astrophysics · Physics 2025-04-30 Michael Haahr , Boris V. Gudiksen , Åke Nordlund

We study dynamics of cosmological models with diffusion effects modeling dark matter and dark energy interactions. We show the simple model with diffusion between the cosmological constant sector and dark matter, where the canonical scaling…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Marek Szydlowski , Aleksander Stachowski

We propose the use of automatic differentiation through the programming framework jax for accelerating a variety of analysis tasks throughout gravitational wave (GW) science. Firstly, we demonstrate that complete waveforms which cover the…

Instrumentation and Methods for Astrophysics · Physics 2023-02-13 Thomas D. P. Edwards , Kaze W. K. Wong , Kelvin K. H. Lam , Adam Coogan , Daniel Foreman-Mackey , Maximiliano Isi , Aaron Zimmerman

In this paper we show how the solar system, the galactic, and the cosmological scales, are accommodated in a single framework, namely, in the derivative expansion framework. We construct a locally inertial static metric, based on the…

General Relativity and Quantum Cosmology · Physics 2021-08-24 Fateen Haddad , Nidal Haddad

In this work, we have obtained exact solutions of Einstein equations for static and axially symmetric magnetized matter, specifically in plane-symmetric and almost-plane symmetric cases. Although these solutions impose constraints on the…

General Relativity and Quantum Cosmology · Physics 2018-04-05 Ernesto Contreras , Pedro Bargueno , Gretel Quintero , Aurora Perez-Martinez , Diana Alvear

We derive a new class of exact solutions of Einstein's equations providing a physically plausible hydrodynamical description of cosmological matter in the radiative era ($10^6 K > T > 10^3 K$), between nucleosynthesis and decoupling. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roberto A. Sussman , Diego Pavon