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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 2:34 |
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Conference: Bucharest University Faculty of Physics 2018 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Barotropic perfect fluids and shear-free conjecture in general relativity
Authors:
Radu SLOBODEANU
Affiliation:
University of Bucharest, Faculty of Physics, P. O. Box MG-11, Bucharest-Magurele, Romania
E-mail
radualexandru.slobodeanu@g.unibuc.ro
Keywords:
general relativity, perfect fluids, exact solutions
Abstract:
In 1971 G.F.R. Ellis conjectured that, in general relativistic context, the kinematic quantities of a perfect fluid must obey the following exact result:
if the shear of a barotropic fluid is zero then the fluid cannot both rotate and expand. The talk will survey recent developments towards the proof of this conjecture highlighting the linear equation of state case (including a non-zero cosmological constant), and few recent results in the general barotropic case.
References:
1. N. Van den Bergh and R. Slobodeanu, Shear-free perfect fluids with a barotropic equation of state in general relativity: the present status, Classical and Quantum Gravity 33 (2016), 085008.
2. R. Slobodeanu, Shear-free perfect fluids with linear equation of state, Classical and Quantum Gravity 31 (2014) 125012.
3. M. E. Sikhonde and P. K. S. Dunsby, Reviving the shear-free perfect fluid conjecture in general relativity, Classical and Quantum Gravity 34.24 (2017), 245007.
4. R. Treciokas and G. F. R. Ellis, Isotropic solutions of the Einstein-Boltzmann equations, Communications in Mathematical Physics 23.1 (1971), 1-22.
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