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We present a new multi-dimensional radiation-hydrodynamics code for massive stellar core-collapse in full general relativity (GR). Employing an M1 analytical closure scheme, we solve spectral neutrino transport of the radiation energy and…

High Energy Astrophysical Phenomena · Physics 2016-03-09 Takami Kuroda , Tomoya Takiwaki , Kei Kotake

We present a general relativistic, ray-tracing radiative transfer code RAIKOU for multi-wavlength studies of spectra and images including the black hole shadows around Kerr black holes. Important radiative processes in hot plasmas around…

High Energy Astrophysical Phenomena · Physics 2023-06-28 Tomohisa Kawashima , Ken Ohsuga , Hiroyuki R. Takahashi

We study static spherically symmetric solutions of massive bi-gravity theory, free from the Boulware-Deser ghost. We show the recovery of General Relativity via the Vainshtein mechanism, in the weak limit of the physical metric. We find a…

General Relativity and Quantum Cosmology · Physics 2013-11-22 Eugeny Babichev , Marco Crisostomi

This paper introduces a mathematical approach that allows one to numerically solve the nonclassical transport equation in a deterministic fashion using classical numerical procedures. The nonclassical transport equation describes particle…

Nuclear Theory · Physics 2020-05-14 R. Vasques , L. R. C. Moraes , R. C. Barros , R. N. Slaybaugh

A variational principle is applied to 4D Euclidean space provided with a tensor refractive index, defining what can be seen as 4-dimensional optics (4DO). The geometry of such space is analysed, making no physical assumptions of any kind.…

General Physics · Physics 2007-05-23 Jose B. Almeida

The OPERA collabotation has reported evidence of superluminal neutrinos with a mean energy 17.5 GeV ranging up to 50 GeV. However, the superluminal interpretation of the OPERA results has been recently refuted theoretically by…

High Energy Physics - Phenomenology · Physics 2011-11-01 Ichiro Oda , Hajime Taira

In the present letter we indicate an extension of the pure gravity inverse scattering integration technique to the case when fermions (introduced on the base of supersymmetry) are present. In this way the integrability technique for simple…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Vladimir A. Belinski

An improvement modification of the Spectral Approach (SA) used for approximating the nonclassical neutral particle transport equation is described in this work. The main focus of the modified SA lies on a slight modification of the…

Nuclear Theory · Physics 2021-08-25 L. R. C. Moraes , J. K. Patel , R. C. Barros , R. Vasques

We propose using the Dirichlet-to-Neumann operator as an extrinsic alternative to the Laplacian for spectral geometry processing and shape analysis. Intrinsic approaches, usually based on the Laplace-Beltrami operator, cannot capture the…

Graphics · Computer Science 2018-04-26 Yu Wang , Mirela Ben-Chen , Iosif Polterovich , Justin Solomon

The unified gas-kinetic wave-particle (UGKWP) method is proposed for the neutron transport equation, addressing the inherent multiscale nature of neutron propagation in both optically thin and thick regimes. UGKWP couples macroscopic…

Numerical Analysis · Mathematics 2025-09-15 Guangwei Liu , Shuang Tan , Yanli Wang

We present the new code NADA-FLD to solve multi-dimensional neutrino-hydrodynamics in full general relativity (GR) in spherical polar coordinates. The energy-dependent neutrino transport assumes the flux-limited diffusion (FLD)…

High Energy Astrophysical Phenomena · Physics 2019-10-23 Ninoy Rahman , Oliver Just , H. -Thomas Janka

While the OPERA experimental scrutiny is ongoing in the community, in the present article we construct a toy model of {\it extended Lorentz code} (ELC) of the uniform motion, which will be a well established consistent and unique…

General Physics · Physics 2013-03-07 G. Ter-Kazarian

The generalized Schr\"odinger-Newton system of equations with both local and nonlocal nonlinearities is widely used to describe light propagating in nonlinear media under the paraxial approximation. However, its use is not limited to…

General Relativity and Quantum Cosmology · Physics 2020-02-12 Tiago D. Ferreira , Nuno A. Silva , O. Bertolami , C. Gomes , A. Guerreiro

The post-Newtonian approximation of general relativistic Liouville's equation is presented. Two integrals of it, generalizations of the classical energy and angular momentum, are obtained. Polytropic models are constructed as an…

Astrophysics · Physics 2007-05-23 V. Rezania , Y. Sobouti

This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jie Zhu , Hao Li

We present a unified approach to neutrino processes in nucleon matter based on Landau's theory of Fermi liquids that includes one- and two-quasiparticle-quasihole pair states as well as mean-field effects. We show how rates of neutrino…

Nuclear Theory · Physics 2008-11-26 G. I. Lykasov , C. J. Pethick , A. Schwenk

We extend a previous phenomenological analysis of photon lensing in an external gravitational background to the case of a massless neutrino, and propose a method to incorporate radiative effects in the classical lens equations of neutrinos…

High Energy Physics - Phenomenology · Physics 2015-09-02 Claudio Coriano , Antonio Costantini , Marta Dell'Atti , Luigi Delle Rose

We generate non-linear representations of the Lorentz Group by unitary transformation over the Lorentz generators. To do that we use deformed scale transformations by introducing momentum-depending parameters. The momentum operator…

High Energy Physics - Theory · Physics 2012-10-24 A. N. Atehortua , D. E. Jaramillo , J. M. Mira , N. Vanegas

The neutrino mechanism of core-collapse supernova is investigated via non-relativistic, two-dimensional (2D), neutrino radiation-hydrodynamic simulations. For the transport of electron flavor neutrinos, we use the interaction rates defined…

High Energy Astrophysical Phenomena · Physics 2016-01-27 Kuo-Chuan Pan , Matthias Liebendörfer , Matthias Hempel , Friedrich-Karl Thielemann

A parameterization is described for quantifying translational motion of a point in three-dimensional Euclidean space. The parameterization is similar to well-known parameterizations such as spherical coordinates in that both position and…

Dynamical Systems · Mathematics 2020-11-24 Alexander T. Miller , Anil V. Rao
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