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F. Jugeau, G. Moutsopoulos and P. Ritter, From accelerating and Poincare coordinates to black holes in spacelike warped AdS3, and back , Class.Quant.Grav. 28 (2011) 035001, arXiv:1007.1961
Original
1961
Earlier work this paper cites.
G.F.R. Ellis and M.A.H. MacCallum, A class of homogeneous models , Commun.Math.Phys. 12 (1969) 108
1969
Earlier work this paper cites.
A.S. Arvanitakis and P.K. Townsend, Minimal Massive 3D Gravity Unitarity Redux , Class.Quant.Grav. 32 (2015) 085003, arXiv:1411.1970
Original
1970
Earlier work this paper cites.
J. Milnor, Curvatures of left invariant metrics on lie groups , Advances in Math. 21 (1976) 293
1976
Earlier work this paper cites.
S. Deser, R. Jackiw and S. Templeton, Topologically Massive Gauge Theories , Ann.Phys. 140 (1982) 372–411
1982
Earlier work this paper cites.
Y. Nutku and P. Bakler, Homogeneous, anisotropic three manifolds of topologically massive gravity , Ann.Phys. 195 (1989) 16
1989
Earlier work this paper cites.
M.E. Ortiz, Homogeneous Solutions To Topologically Massive Gravity , Ann.Phys. 200 (1990) 345
1990
Earlier work this paper cites.
M.E. Ortiz, Homogeneous spacetimes with isotropy in 2+1 dimensions as solutions to topologically massive gravity , Class.Quant.Grav. 7 (1990) 1835
1990
Earlier work this paper cites.
G. Clement, Particle-like solutions to topologically massive gravity , Class.Quant.Grav. 11 (1994) L115, arXiv:gr-qc/9404004
1994
Earlier work this paper cites.
A.N. Aliev and Y. Nutku, A theorem on topologically massive gravity , Class.Quant.Grav. 13 (1996) L29, arXiv:gr-qc/9812089
1996
Earlier work this paper cites.
L. Bianchi, Sugli spazii a tre dimensioni che ammettono un gruppo continuo di movimenti , Soc.Ital.Sci.Mem. di Mat. 11 (1898) 267. English translation: On three dimensional spaces which admit a continuous group of motions , Gen.Rel.Grav. 33 (2001) 2171
2001
Earlier work this paper cites.
H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers and E. Herlt, Exact Solutions of Einstein’s Field Equations , second edition, Cambridge University Press, Cambridge, (2003)
2003
Earlier work this paper cites.

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Original
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2014
Later among the works it cites.
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Original
2014
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2017

Homogeneous Solutions of Minimal Massive 3D Gravity

Charyyev, Jumageldi, Deger, Nihat Sadik

Understand

In this paper we systematically construct simply transitive homogeneous spacetime solutions of the three-dimensional Minimal Massive Gravity (MMG) model.

In addition to those that have analogs in Topologically Massive Gravity, such as warped AdS and pp-waves, there are several solutions genuine to MMG.
Among them, there is a stationary Lifshitz metric with the dynamical exponent z=-1 and an anisotropic Lifshitz solution where all coordinates scale differently.
Moreover, we identify a homogeneous Kundt type solution at the chiral point of the theory.

Built on

F. Jugeau, G. Moutsopoulos and P. Ritter, From accelerating and Poincare coordinates to black holes in spacelike warped AdS3, and back , Class.Quant.Grav. 28 (2011) 035001, arXiv:1007.1961
Original
1961
Earlier work this paper cites.
G.F.R. Ellis and M.A.H. MacCallum, A class of homogeneous models , Commun.Math.Phys. 12 (1969) 108
1969
Earlier work this paper cites.
A.S. Arvanitakis and P.K. Townsend, Minimal Massive 3D Gravity Unitarity Redux , Class.Quant.Grav. 32 (2015) 085003, arXiv:1411.1970
Original
1970
Earlier work this paper cites.
J. Milnor, Curvatures of left invariant metrics on lie groups , Advances in Math. 21 (1976) 293
1976
Earlier work this paper cites.
S. Deser, R. Jackiw and S. Templeton, Topologically Massive Gauge Theories , Ann.Phys. 140 (1982) 372–411
1982
Earlier work this paper cites.
Y. Nutku and P. Bakler, Homogeneous, anisotropic three manifolds of topologically massive gravity , Ann.Phys. 195 (1989) 16
1989
Earlier work this paper cites.
M.E. Ortiz, Homogeneous Solutions To Topologically Massive Gravity , Ann.Phys. 200 (1990) 345
1990
Earlier work this paper cites.
M.E. Ortiz, Homogeneous spacetimes with isotropy in 2+1 dimensions as solutions to topologically massive gravity , Class.Quant.Grav. 7 (1990) 1835
1990
Earlier work this paper cites.
G. Clement, Particle-like solutions to topologically massive gravity , Class.Quant.Grav. 11 (1994) L115, arXiv:gr-qc/9404004
1994
Earlier work this paper cites.
A.N. Aliev and Y. Nutku, A theorem on topologically massive gravity , Class.Quant.Grav. 13 (1996) L29, arXiv:gr-qc/9812089
1996
Earlier work this paper cites.
L. Bianchi, Sugli spazii a tre dimensioni che ammettono un gruppo continuo di movimenti , Soc.Ital.Sci.Mem. di Mat. 11 (1898) 267. English translation: On three dimensional spaces which admit a continuous group of motions , Gen.Rel.Grav. 33 (2001) 2171
2001
Earlier work this paper cites.
H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers and E. Herlt, Exact Solutions of Einstein’s Field Equations , second edition, Cambridge University Press, Cambridge, (2003)
2003
Earlier work this paper cites.