Abstract
R- and T-regions of spacetime are first defined in a particular coordinate system and then with the aid of the Schwarzschild vacuum solution are shown to represent the outside and inside of a black hole respectively. A certain class of interior solutions, relating to a perfect fluid, are also considered and it is found that these R- and T-solutions have distinct physical properties. The R-solutions are static, spherically symmetric, permanent, and have a classical analogue, while the corresponding T-solutions, which are wholly time dependent, are cylindrical, temporary, and do not have a classical analogue. It is shown that these T-solutions cannot be generated from their R-region counterparts. Particular T-solutions are also presented in which the corresponding fluid occupies the whole of a T-region. The fluid would under certain circumstances be black body radiation while for other cases the internal pressure is always greater than the density.
Citation Formats
McVittie, G C, and Wiltshire, R J.
Fluid spheres and R- and T-regions in general relativity.
United Kingdom: N. p.,
1975.
Web.
doi:10.1007/BF01807663.
McVittie, G C, & Wiltshire, R J.
Fluid spheres and R- and T-regions in general relativity.
United Kingdom.
https://doi.org/10.1007/BF01807663
McVittie, G C, and Wiltshire, R J.
1975.
"Fluid spheres and R- and T-regions in general relativity."
United Kingdom.
https://doi.org/10.1007/BF01807663.
@misc{etde_5296629,
title = {Fluid spheres and R- and T-regions in general relativity}
author = {McVittie, G C, and Wiltshire, R J}
abstractNote = {R- and T-regions of spacetime are first defined in a particular coordinate system and then with the aid of the Schwarzschild vacuum solution are shown to represent the outside and inside of a black hole respectively. A certain class of interior solutions, relating to a perfect fluid, are also considered and it is found that these R- and T-solutions have distinct physical properties. The R-solutions are static, spherically symmetric, permanent, and have a classical analogue, while the corresponding T-solutions, which are wholly time dependent, are cylindrical, temporary, and do not have a classical analogue. It is shown that these T-solutions cannot be generated from their R-region counterparts. Particular T-solutions are also presented in which the corresponding fluid occupies the whole of a T-region. The fluid would under certain circumstances be black body radiation while for other cases the internal pressure is always greater than the density.}
doi = {10.1007/BF01807663}
journal = []
volume = {14:3}
journal type = {AC}
place = {United Kingdom}
year = {1975}
month = {Oct}
}
title = {Fluid spheres and R- and T-regions in general relativity}
author = {McVittie, G C, and Wiltshire, R J}
abstractNote = {R- and T-regions of spacetime are first defined in a particular coordinate system and then with the aid of the Schwarzschild vacuum solution are shown to represent the outside and inside of a black hole respectively. A certain class of interior solutions, relating to a perfect fluid, are also considered and it is found that these R- and T-solutions have distinct physical properties. The R-solutions are static, spherically symmetric, permanent, and have a classical analogue, while the corresponding T-solutions, which are wholly time dependent, are cylindrical, temporary, and do not have a classical analogue. It is shown that these T-solutions cannot be generated from their R-region counterparts. Particular T-solutions are also presented in which the corresponding fluid occupies the whole of a T-region. The fluid would under certain circumstances be black body radiation while for other cases the internal pressure is always greater than the density.}
doi = {10.1007/BF01807663}
journal = []
volume = {14:3}
journal type = {AC}
place = {United Kingdom}
year = {1975}
month = {Oct}
}