TY - JOUR
T1 - Future asymptotic behavior of three-dimensional spacetimes with massive particles
AU - Fajman, David
N1 - Publisher Copyright:
© 2016 IOP Publishing Ltd.
PY - 2016/6/9
Y1 - 2016/6/9
N2 - We consider non-vacuum initial data for the three-dimensional Einstein equations coupled to Vlasov matter composed of massive particles, on an arbitrary compact Cauchy hypersurface without boundary. We show that conservation of the total mass implies future completeness of the corresponding maximal development in the isotropic case, independent of the topology. This behavior is fundamentally different from the vacuum case and also from the same model in higher dimensions. In particular, we find that a positive mass of particles in three dimensions avoids recollapse of the spatial geometry. Finally, we construct similar solutions for the Einstein-dust system and describe to what extent the construction fails for massless matter models.
AB - We consider non-vacuum initial data for the three-dimensional Einstein equations coupled to Vlasov matter composed of massive particles, on an arbitrary compact Cauchy hypersurface without boundary. We show that conservation of the total mass implies future completeness of the corresponding maximal development in the isotropic case, independent of the topology. This behavior is fundamentally different from the vacuum case and also from the same model in higher dimensions. In particular, we find that a positive mass of particles in three dimensions avoids recollapse of the spatial geometry. Finally, we construct similar solutions for the Einstein-dust system and describe to what extent the construction fails for massless matter models.
KW - Einstein-Vlasov system
KW - 2+1-dimensional gravity
KW - closed universe recollapse
KW - massive particles
KW - UNIVERSE RECOLLAPSE CONJECTURE
KW - CLOSED-UNIVERSE
KW - 2+1 DIMENSIONS
KW - GRAVITY
KW - SYSTEM
UR - http://www.scopus.com/inward/record.url?scp=84971525141&partnerID=8YFLogxK
U2 - 10.1088/0264-9381/33/11/11LT01
DO - 10.1088/0264-9381/33/11/11LT01
M3 - Article
SN - 0264-9381
VL - 33
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 11
M1 - 11LT01
ER -