THE PROBLEM OF ONE DIMENSIONAL NONSTEADY GAS FLOW IN THE GENERAL THEORY OF RELATIVITY, TAKING DISSIPATIVE PROCESSES INTO ACCOUNT,
Abstract
This paper continues the author's examination of the point-symmetric gas flow in the general theory of relativity. With consideration of viscosity and heat conductivity, differential equations were previously derived for a spherical bounded Lorentz system of coordinates moving in every point in three-dimensional space together with energy, and a solution was given for the compound Gauchy problem with initial data at a specific moment of intrinsic time. Using these equations in the present article the following problem is examined. It is assumed that the initial line in space (r,t) is a parabola t =(r squared). Two cases are treated under these assumptions: a) when the speed of light is considered to be unity in the center of mass for all times: and b) when the speed of light is arbitrarily given along the initial line (the Gauchy problem). The problem is solved using the power-series method.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 23, 1961
- Accession Number
- AD0265813
Entities
People
- T. Aytmurzayev
Organizations
- National Air and Space Intelligence Center