Physical characteristics of N-dimensional, radially-symmetric polytropes

Details Physical characteristics of N-dimensional, radially-symmetric polytropes Physical characteristics of N-dimensional, radially-symmetric polytropes

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.133...81h&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 133, no. 1, May 1987, p. 81-106.

Statistics

Computation

4

Gamma Function, Internal Energy, Polytropic Processes, Stellar Gravitation, Stellar Physics, Virial Theorem, Computational Fluid Dynamics, Euler Equations Of Motion, Poisson Equation, Radii, Stellar Mass

Scientific paper

The physical characteristics radius, mass, mean density, gravitational potential and acceleration, gravitational and internal energy are presented with the aid of the gamma function for N-dimensional, radially-symmetric polytropes. The virial theorem with external pressure is derived in the relativistic limit, with Newtonian gravitation still valid. The gravitational energy of polytropes obeying the generalized Schuster-Emden integral is shown to be finite. Finiteness of mass and radius is discussed for the cases of practical interest N = 1 (slab), N = 2 (cylinder), and N = 3 (sphere). Uniform contraction or expansion of N-dimensional polytropes is considered in the last section.

Affiliated with

Also associated with

No associations

Rating

Physical characteristics of N-dimensional, radially-symmetric polytropes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Physical characteristics of N-dimensional, radially-symmetric polytropes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Physical characteristics of N-dimensional, radially-symmetric polytropes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-856677