In perfect fluid space-times with a concircularly semi-symmetric metric connection and unit timelike torse-forming vector, the equation of state is shown to represent the phantom barrier.
O’Neill,Semi-Riemannian geometry with applications to the relativity, Academic Press, New York-London, (1983)
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A semi-symmetric metric connection, perfect fluid space-time and phantom barrier
In perfect fluid space-times with a concircularly semi-symmetric metric connection and unit timelike torse-forming vector, the equation of state is shown to represent the phantom barrier.