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A recently published method for solving the neutrino evolution equation with constant matter density is further refined and used to lay out an exact algorithm for computing oscillation probabilities, which is moderately faster than previous…

High Energy Physics - Phenomenology · Physics 2024-04-29 James Page

We investigate anisotropic fluid cosmology in a situation where the spacetime metric back-reacts in a local, time-dependent way to the presence of inhomogeneities. We derive exact solutions to the Einstein field equations describing…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Mariano Cadoni , Andrea P. Sanna

In the next decade, cosmological surveys will have the statistical power to detect the absolute neutrino mass scale. N-body simulations of large-scale structure formation play a central role in interpreting data from such surveys. Yet these…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-31 Caio Bastos de Senna Nascimento , Marilena Loverde

An explicit necessary condition for the occurrence of resonance scattering of axial gravitational waves, along with the internal trapping of null geodesics, is proposed for static spherically symmetric perfect fluid solutions to Einstein's…

General Relativity and Quantum Cosmology · Physics 2010-02-23 Mustapha Ishak , Luke Chamandy , Nicholas Neary , Kayll Lake

This paper explores the quantum-fluid correspondence in a charged relativistic fluid with intrinsic spin. We begin by examining the nonrelativistic case, showing that the inclusion of spin introduces a quantum correction to the classical…

General Relativity and Quantum Cosmology · Physics 2024-12-31 Naoki Sato

We present an analytic study of the density fluctuation of a Newtonian self-gravity fluid in the expanding universe with $\Omega_\Lambda+\Omega_m=1$, which extends our previous work in the static case. By use of field theory techniques, we…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-09 Yang Zhang , Bichu Li

We investigate the anisotropic evolution of spacetime driven by perfect fluid with off-diagonal shear-viscosity components. We consider the simplest form of the equation of state for fluid, for which the pressure and the shear stress are…

General Relativity and Quantum Cosmology · Physics 2023-12-25 Inyong Cho , Rajibul Shaikh

We derive an exact equation for density changes induced by a general external field that corrects the hydrostatic approximation where the local value of the field is adsorbed into a modified chemical potential. Using linear response theory…

Statistical Mechanics · Physics 2009-10-31 Kirill Katsov , John D. Weeks

A consistent formulation to incorporate massive neutrinos in the perturbation theory of the effective CDM+baryons fluid is introduced. In this formulation all linear k dependence in the growth functions of CDM+baryons perturbations, as well…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-01 Michele Levi , Zvonimir Vlah

We reconstruct the neutrino mass as a function of redshift, z, from current cosmological data using both standard binned priors and linear spline priors with variable knots. Using cosmic microwave background temperature, polarization and…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-22 Christiane S. Lorenz , Lena Funcke , Matthias Löffler , Erminia Calabrese

We study the influence of the temperature-dependent interaction between dark matter (DM) and neutrinos on the measurement of cosmological parameters. We pay attention to the neutrino mass effects, so that the derivation of Boltzmann…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-23 Ren-Peng Zhou , Da Huang

In this paper, we propose a linear and monolithic finite element method for the approximation of an incompressible viscous fluid interacting with an elastic and deforming plate. We use the arbitrary Lagrangian-Eulerian (ALE) approach that…

Numerical Analysis · Mathematics 2023-01-13 Sebastian Schwarzacher , Bangwei She , Karel Tuma

The quest for the neutrino mass is a central goal in contemporary cosmology, subject to intense scrutiny, and among different large-scale structure tracers the Lyman-Alpha forest is re-emerging as a unique tool to probe the neutrino mass at…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-23 Graziano Rossi

Using numerical methods, we examine the dynamics of nonlinear perturbations in the expanding time direction, under a Gowdy symmetry assumption, of FLRW fluid solutions to the Einstein-Euler equations with a positive cosmological constant…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Florian Beyer , Elliot Marshall , Todd A. Oliynyk

Measurements of the evolution with redshift of the number density of massive galaxy clusters are used to constrain the energy density of massive neutrinos and so the sum of neutrino masses $\sum m_\nu$. We consider a spatially-flat…

Astrophysics · Physics 2009-11-10 Tina Kahniashvili , Eckhard von Toerne , Natalia A. Arhipova , Bharat Ratra

In the present article we have obtained new set of exact solutions of Einstein field equations for anisotropic fluid spheres by using the Herrera et al.[1] algorithm. The anisotropic fluid solution so obtained join continuously to…

General Relativity and Quantum Cosmology · Physics 2015-09-30 S. K. Maurya , Y. K. Gupta , M. K. Jasim

We present an implicit finite difference representation for general relativistic radiation hydrodynamics in spherical symmetry. Our code, Agile-Boltztran, solves the Boltzmann transport equation for the angular and spectral neutrino…

Using the recently developed ``Maximum Entropy'' (or ``least biased'') distribution function to truncate the moment hierarchy arising from kinetic theory, we formulate a far-from-equilibrium macroscopic theory that provides the possibility…

High Energy Physics - Phenomenology · Physics 2023-08-03 Chandrodoy Chattopadhyay , Ulrich Heinz , Thomas Schaefer

We exactly solve the relaxation-time approximation Boltzmann equation for a system which is transversely homogeneous and undergoing boost-invariant longitudinal expansion. We compare the resulting exact numerical solution with approximate…

Nuclear Theory · Physics 2013-09-27 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland

Given suitable small, localized, $\mathbb U(1)$-symmetric solutions to the Einstein-massless Vlasov system in an elliptic gauge, we prove that they can be approximated by high-frequency vacuum spacetimes. This extends previous constructions…

General Relativity and Quantum Cosmology · Physics 2025-06-30 Cécile Huneau , Jonathan Luk