Tags » Mathematical Physics

General Relativity and Gravitation: A Centennial Perspective [CL]


To commemorate the 100th anniversary of general relativity, the International Society on General Relativity and Gravitation (ISGRG) commissioned a Centennial Volume, edited by the authors of this article. 116 more words

High Energy Astrophysical Phenomena

A New Solution of Einstein Vacuum Field Equations [CL]


A new solution of Einstein’s vacuum field equations is discovered which appears as a generalization of the well-known Ozsvath-Schucking solution and explains its source of curvature which has otherwise remained hidden. 84 more words


Friedmann's Equations in All Dimensions and Chebyshev's Theorem [CEA]


This short but systematic work demonstrates a link between Chebyshev’s theorem and the explicit integration in cosmological time $t$ and conformal time $\eta$ of the Friedmann equations in all dimensions and with an arbitrary cosmological constant $\Lambda$. 191 more words

Cosmology And Extragalactic Astrophysics

Strong shock in the uniformly expanding medium [CEA]


Propagation of the strong shock in the flat expanding Friedman universe is investigated using methods of dimension and similarity. Exact analytic solution of self-similar equations is obtained, determining dependences of the radius and velocity of the shock wave on time and radius. 104 more words

Cosmology And Extragalactic Astrophysics

Galaxies with Supermassive Binary Black Holes: (II) A Model with Cuspy Galactic Density Profiles [GA]


The existence and uniqueness of equilibrium points, including Lagrange Points and Jiang-Yeh Points, of a galactic system with supermassive binary black holes embedded in a centrally cuspy galactic halo are investigated herein. 113 more words

Galaxy Astrophysics

Symmetric Relative Equilibria in the Four-Vortex Problem with Three Equal Vorticities

>Ernesto Perez-Chavela, Manuele Santoprete, Claudia Tamayo

We examine in detail the relative equilibria of the 4-vortex problem when three vortices have equal strength, that is, Γ1=Γ2=Γ3=1, and Γ4 is a real parameter.

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Mathematical Physics

Adiabatic theorem for a class of quantum stochastic equations

Martin Fraas

We derive an adiabatic theory for a stochastic differential equation, εdX(s)=L1(s)X(s)ds+ε√L2(s)X(s)dBs, under a condition that instantaneous stationary states of L1(s) are also stationary states of L2(s).

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Mathematical Physics