COSMOLOGICAL ANALYTIC SOLUTIONS WITH REDUCED RELATIVISTIC GAS

General Relativistic Static Fluid Solutions with Cosmological Constant

Analytic Solutions for Cosmological Perturbations in Multi-dimensional Space-time * †

We obtain analytic solutions for the density contrast and the anisotropic pressure in a multi-dimensional FRW cosmology with collisionless, massless matter. These are compared with perturbations of a perfect fluid universe. To describe the metric perturbations we use manifest gauge invariant metric potentials. The matter perturbations are calculated by means of (automatically gauge invariant) f...

Ultra- Relativistic Solitons with Opposing Behaviors in Photon Gas Plasma

We have studied the formation of relativistic solitary waves due to nonlinearinteraction of strong electromagnetic wave with the plasma wave. Here, our plasma isrelativistic both in temperature and in streaming speed. A set of equations consisting ofscalar and vector potentials together with a third order equation for the enthalpy inphoton gas plasma is obtained analytic...

New analytic solutions of the non-relativistic hydrodynamical equations

New solutions are found for the non-relativistic hydrodynamical equations. These solutions describe expanding matter in Gaussian space distribution. In the simplest case, thermal equilibrium is maintained without any interaction, the energy is conserved, and the process is isentropic. More general solutions are also obtained that describe explosions driven by heat production, or contraction of ...

Non–Relativistic Spacetimes with Cosmological Constant

Recent data on supernovae favor high values of the cosmological constant. Spacetimes with a cosmological constant have non–relativistic kinematics quite different from Galilean kinematics. De Sitter spacetimes, vacuum solutions of Einstein’s equations with a cosmological constant, reduce in the non–relativistic limit to Newton–Hooke spacetimes, which are non–metric homogeneous spacetimes with n...