The physics of anisotropic spheres in general relativity

Details The physics of anisotropic spheres in general relativity The physics of anisotropic spheres in general relativity

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001phdt........10d&link_type=abstract

Thesis (PhD). DARTMOUTH COLLEGE, Source DAI-B 62/05, p. 2352, Nov 2001, 88 pages.

Physics

Scientific paper

We study the effects of anisotropic pressure on the properties of spherically symmetric, gravitationally bound spheres. We consider the full general-relativistic and Newtonian treatment of this problem and obtain exact solutions for various forms of the equation of state connecting the radial and tangential pressures. It is shown that pressure anisotropy can have significant effects on the structure and properties of both Newtonian and general relativistic spheres. We show that it is possible for Newtonian spheres to have an infinite core pressure without requiring the radius to be infinite and that there exists stable anisotropic spheres with adiabatic exponents less than 4/3. For general relativistic spheres we demonstrate that the maximum value of 2M/R can approach unity (2M/R < 8/9 for isotropic spheres) and the surface redshift can be arbitrarily large.

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