On the fate of stars in high spatial dimensions

Details On the fate of stars in high spatial dimensions On the fate of stars in high spatial dimensions

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993amjph..61..460b&link_type=abstract

American Journal of Physics, Volume 61, Issue 5, pp. 460-462 (1993).

Physics

2

Main-Sequence: Late-Type Stars, Relativity And Gravitation, Black Holes, Neutron Stars

Scientific paper

Chandrasekhar showed that above a limiting mass, white dwarf stars will collapse under their own gravitational force. We use dimensional analysis to show that although the limiting mass is finite in three spatial dimensions (d=3), it is zero in higher spatial dimensions. A star placed in a high-dimensional space is unstable and will either collapse to a black hole or disperse and become unbound. Thus, any universe-or part of a universe-with d>=4 will be profoundly different from one with d=3.

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