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We prove nonlinear stability for a large class of solutions to the Einstein equations with a positive cosmological constant and compact spatial topology in arbitrary dimensions, where the spatial metric is Einstein with either positive or…

Differential Geometry · Mathematics 2018-05-01 David Fajman , Klaus Kroencke

We construct exact static inhomogeneous solutions to Einstein's equations with counter flow of particle fluid and a positive cosmological constant by using the Sasaki metrics on three-dimensional spaces. The solutions, which admit an…

High Energy Physics - Theory · Physics 2022-03-23 Hideki Ishihara , Satsuki Matsuno

We derive a first order formalism for solving the scattering of point sources in (2+1) gravity with negative cosmological constant. We show that their physical motion can be mapped, with a polydromic coordinate transformation, to a trivial…

High Energy Physics - Theory · Physics 2016-12-28 P. Valtancoli

The present work concerns the derivation of a numerical scheme to approximate weak solutions of the Euler equations with a gravitational source term. The designed scheme is proved to be fully well-balanced since it is able to exactly…

Numerical Analysis · Mathematics 2025-10-23 Christophe Berthon , Victor Michel-Dansac , Andrea Thomann

Numerically "exact" methods addressing the dynamics of coupled electron--phonon systems have been intensively developed. Nevertheless, the corresponding results for the electron mobility $\mu_\mathrm{dc}$ are scarce, even for the…

Strongly Correlated Electrons · Physics 2023-09-12 Veljko Janković

The article proposes an amendment to the relativistic continuum mechanics which introduces the relationship between density tensors and the curvature of spacetime. The resulting formulation of a symmetric stress-energy tensor for a system…

General Physics · Physics 2023-12-19 Piotr Ogonowski

We review recent results on the cosmological models based on the holographic principle which were proposed to explain the most of the problems occurring in the Standard Cosmological Model. It is shown that these models naturally solve the…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-16 Yu. L. Bolotin , O. A. Lemets , D. A. Yerokhin , L. G. Zazunov

This work presents a novel formulation and numerical strategy for the simulation of geometrically nonlinear structures. First, a non-canonical Hamiltonian (Poisson) formulation is introduced by including the dynamics of the stress tensor.…

Numerical Analysis · Mathematics 2025-10-27 Andrea Brugnoli , Denis Matignon , Joseph Morlier

In applications of Einstein gravity one replaces the quantum-mechanical energy-momentum tensor of sources such as the degenerate electrons in a white dwarf or the black-body photons in the microwave background by c-number matrix elements.…

High Energy Physics - Theory · Physics 2017-11-22 Philip D. Mannheim

Four dimensional gravity with a U(1) gauge field, coupled to various fields in asymptotically anti-de Sitter spacetime, provides a rich arena for the holographic study of the strongly coupled (2+1)-dimensional dynamics of finite density…

High Energy Physics - Theory · Physics 2013-11-11 Tameem Albash , Clifford V. Johnson , Scott MacDonald

In this work, we study of the algebraic-hyperbolic formulation of the Einstein constraint equations for numerically constructing initial data sets for inhomogeneous cosmological space-times with $\mathbb{T}^3$ topology. We implement a…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Alejandro Estrada-Llesta , Cristhian Martinez-Duarte , Leon Escobar-Diaz

A formulation of Einstein equations is presented that could yield advantages in the study of collisions of binary compact objects during regimes between linear-nonlinear transitions. The key idea behind this formulation is a separation of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Pablo Laguna

We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in…

High Energy Physics - Theory · Physics 2021-04-07 Casey Cartwright , Benjamin Harms , Matthias Kaminski

In a holographic approach, the evolution of a 4D strongly coupled non-Abelian plasma towards equilibrium can be studied investigating a 5D gravitational dual. The process driving the plasma out-of-equilibrium can be described by boundary…

High Energy Physics - Phenomenology · Physics 2015-10-16 Loredana Bellantuono , Pietro Colangelo , Fulvia De Fazio , Floriana Giannuzzi

Quantum Monte Carlo methods are powerful tools for studying quantum many-body systems but face difficulties in accessing excited states and in treating sign problems. We present a continuous-time path-integral Monte Carlo method for…

Strongly Correlated Electrons · Physics 2025-12-16 Abhishek Karna , Hansen S. Wu , Shailesh Chandrasekharan , Ribhu K. Kaul

Motivated by some recent speculative attempts to model the dark energy, scalar fields with negative kinetic energy coupled to gravity without a cosmological constant are considered. It is shown that in the presence of an ordinary fluid, any…

High Energy Physics - Theory · Physics 2007-05-23 G. W. Gibbons

A dynamical aspect of quantum gravity on de Sitter spacetime is investigated by holography or the dS/CFT correspondence. We show that de Sitter spacetime emerges from a free Sp(N) vector model by complexifying the ghost fields and flowing…

High Energy Physics - Theory · Physics 2020-04-10 Shuichi Yokoyama

It is shown that the vacuum Einstein equations for an arbitrary stationary axisymmetric space-time can be completely separated by re-formulating the Ernst equation and its associated linear system in terms of a non-autonomous…

High Energy Physics - Theory · Physics 2009-10-28 D. Korotkin , H. Nicolai

Cosmological field-level inference requires differentiable forward models that solve the challenging dynamics of gas and dark matter under hydrodynamics and gravity. We propose a hybrid approach where gravitational forces are computed using…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-31 Arne Thomsen , Tilman Tröster , François Lanusse

We employ Hamiltonian light-front quantum field theory in a basis function approach to solve the non-perturbative problem of an electron in a strong scalar transverse confining potential. We evaluate both the invariant mass spectra and the…

High Energy Physics - Phenomenology · Physics 2011-02-18 H. Honkanen , P. Maris , J. P. Vary , S. J. Brodsky