## Tags » Mathematical Physics

#### General Relativity and Gravitation: A Centennial Perspective [CL]

http://arxiv.org/abs/1409.5823

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]

http://arxiv.org/abs/1409.3758

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

Cross-listed

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

http://arxiv.org/abs/1409.3352

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]

http://arxiv.org/abs/1408.1918

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]

http://arxiv.org/abs/1408.0070

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.

30 more words
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).

34 more words
Mathematical Physics