Shear-free gravitational collapse

Journal of Mathematical Physics - Tập 20 Số 7 - Trang 1508-1513 - 1979
E. N. Glass1
1Physics Department, University of Windsor, Windsor, Ontario N9B 3P4

Tóm tắt

Spherically symmetric perfect fluids are studied under the restriction of shear-free motion. All solutions of the field equations are found by solving a single second order nonlinear equation containing an arbitrary function. It is shown that this arbitrary function is a geometric invariant, E, which measures the gravitational field energy, and it is shown that E=const generates all the homogeneous density solutions. An improved proof is given for the nonexistence of any one-parameter equation of state. A number of exact solutions are presented and discussed.

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Tài liệu tham khảo

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Thông tin xuất bản

Journal of Mathematical Physics

Tập 20 Số 7

1508-1513

Thông tin tác giả