[1] |
L. Andersson and V. Moncrief, 2003 Elliptic hyperbolic systems and the Einstein equations, https://doi.org/10.1007/s00023-003-0120-1 Annales Henri Poincaré4 1 [gr-qc/0110111] · Zbl 1028.83005 · doi:10.1007/s00023-003-0120-1 |
[2] |
R.L. Arnowitt, S. Deser and C.W. Misner, 1959 Dynamical structure and definition of energy in general relativity, https://doi.org/10.1103/PhysRev.116.1322 Phys. Rev.1161322 · Zbl 0092.20704 · doi:10.1103/PhysRev.116.1322 |
[3] |
J.M. Bardeen, 1980 Gauge invariant cosmological perturbations, https://doi.org/10.1103/PhysRevD.22.1882 Phys. Rev. D22 1882 · doi:10.1103/PhysRevD.22.1882 |
[4] |
J.M. Bardeen, O. Sarbach and L.T. Buchman, 2011 Tetrad formalism for numerical relativity on conformally compactified constant mean curvature hypersurfaces, https://doi.org/10.1103/PhysRevD.83.104045 Phys. Rev. D83 104045 [1101.5479] · doi:10.1103/PhysRevD.83.104045 |
[5] |
J.M. Bardeen, P.J. Steinhardt and M.S. Turner, 1983 Spontaneous creation of almost scale-free density perturbations in an inflationary universe, https://doi.org/10.1103/PhysRevD.28.679 Phys. Rev. D28 679 · doi:10.1103/PhysRevD.28.679 |
[6] |
V.A. Belinsky, I.M. Khalatnikov and E.M. Lifshitz, 1970 Oscillatory approach to a singular point in the relativistic cosmology, https://doi.org/10.1080/00018737000101171 Adv. Phys.19 525 · doi:10.1080/00018737000101171 |
[7] |
L.T. Buchman and J.M. Bardeen, 2003 A hyperbolic tetrad formulation of the Einstein equations for numerical relativity, https://doi.org/10.1103/PhysRevD.67.084017 Phys. Rev. D67 084017 [Erratum ibid 72 (2005) 049903] [gr-qc/0301072] · doi:10.1103/PhysRevD.67.084017 |
[8] |
W.G. Cook, I.A. Glushchenko, A. Ijjas, F. Pretorius and P.J. Steinhardt, Supersmoothing through slow contraction, [2006.01172] · Zbl 1473.83088 |
[9] |
J. Ehlers, 1961 Beiträge zur relativistischen Mechanik kontinuierlicher Medien (in German), Mainz Akad. Wissensch. Math. Naturwissen. Kl.11 792 · Zbl 0116.21501 |
[10] |
G.F.R. Ellis, 1967 Dynamics of pressure free matter in general relativity, https://doi.org/10.1063/1.1705331 J. Math. Phys.81171 · doi:10.1063/1.1705331 |
[11] |
F.B. Estabrook and H.D. Wahlquist, 1964 Dyadic analysis of space-time congruences, https://doi.org/10.1063/1.1931200 J. Math. Phys.5 1629 · Zbl 0129.41003 · doi:10.1063/1.1931200 |
[12] |
F.B. Estabrook, R. Robinson and H.D. Wahlquist, 1997 Hyperbolic equations for vacuum gravity using special orthonormal frames, https://doi.org/10.1088/0264-9381/14/5/025 Class. Quant. Grav.14 1237 [gr-qc/9703072] · Zbl 0873.53058 · doi:10.1088/0264-9381/14/5/025 |
[13] |
D. Garfinkle, W.C. Lim, F. Pretorius and P.J. Steinhardt, 2008 Evolution to a smooth universe in an ekpyrotic contracting phase with w > 1, https://doi.org/10.1103/PhysRevD.78.083537 Phys. Rev. D78 083537 [0808.0542] · doi:10.1103/PhysRevD.78.083537 |
[14] |
U.H. Gerlach and U.K. Sengupta, 1979 Gauge invariant perturbations on most general spherically symmetric space-times, https://doi.org/10.1103/PhysRevD.19.2268 Phys. Rev. D19 2268 · doi:10.1103/PhysRevD.19.2268 |
[15] |
R. Geroch, 2004 Gauge, diffeomorphisms, initial-value formulation, etc., in The Einstein equations and the large scale behavior of gravitational fields, https://doi.org/10.1007/978-3-0348-7953-813 Birkhäuser, Basel, Switzerland , pg. 441 · Zbl 1073.83013 · doi:10.1007/978-3-0348-7953-8_13 |
[16] |
A.H. Guth, 2007 Eternal inflation and its implications, https://doi.org/10.1088/1751-8113/40/25/S25 J. Phys. A40 6811 [hep-th/0702178] · doi:10.1088/1751-8113/40/25/S25 |
[17] |
A. Ijjas and P.J. Steinhardt, 2018 Bouncing cosmology made simple, https://doi.org/10.1088/1361-6382/aac482 Class. Quant. Grav.35 135004 [1803.01961] · Zbl 1409.83236 · doi:10.1088/1361-6382/aac482 |
[18] |
A. Ijjas and P.J. Steinhardt, 2019 A new kind of cyclic universe, https://doi.org/10.1016/j.physletb.2019.06.056 Phys. Lett. B795 666 [1904.08022] · doi:10.1016/j.physletb.2019.06.056 |
[19] |
P. Jordan, J. Ehlers and W. Kundt, 2009 Republication of: exact solutions of the field equations of the general theory of relativity, https://doi.org/10.1007/s10714-009-0869-8 Gen. Relativ. Grav.41 2191 · Zbl 1179.83022 · doi:10.1007/s10714-009-0869-8 |
[20] |
J. Khoury, B.A. Ovrut, P.J. Steinhardt and N. Turok, 2001 The ekpyrotic universe: colliding branes and the origin of the hot big bang, https://doi.org/10.1103/PhysRevD.64.123522 Phys. Rev. D64 123522 [hep-th/0103239] · doi:10.1103/PhysRevD.64.123522 |
[21] |
W. Kundt, 2003 “Golden oldie”: the spatially homogeneous cosmological models, https://doi.org/10.1023/A:1022334319617 Gen. Relativ. Grav.35 491 · Zbl 1016.83005 · doi:10.1023/A:1022334319617 |
[22] |
E. Lifshitz, 1946 Republication of: on the gravitational stability of the expanding universe J. Phys. (U.S.S.R.)10 116 · Zbl 0060.44507 |
[23] |
E. Lifshitz, 2017 https://doi.org/10.1007/s10714-016-2165-8 Gen. Relativ. Grav.49 18 · Zbl 1358.83100 · doi:10.1007/s10714-016-2165-8 |
[24] |
V.F. Mukhanov, 1988 Quantum theory of gauge invariant cosmological perturbations Sov Phys. JETP67 1297 |
[25] |
V.F. Mukhanov, 1988 Zh. Eksp. Teor. Fiz.94N71 |
[26] |
F. Pretorius, 2005 Numerical relativity using a generalized harmonic decomposition, https://doi.org/10.1088/0264-9381/22/2/014 Class. Quant. Grav.22 425 [gr-qc/0407110] · Zbl 1067.83001 · doi:10.1088/0264-9381/22/2/014 |
[27] |
F. Pretorius, 2006 Simulation of binary black hole spacetimes with a harmonic evolution scheme, https://doi.org/10.1088/0264-9381/23/16/S13 Class. Quant. Grav.23 S529 [gr-qc/0602115] · Zbl 1191.83026 · doi:10.1088/0264-9381/23/16/S13 |
[28] |
P.J. Steinhardt and N. Turok, 2002 Cosmic evolution in a cyclic universe, https://doi.org/10.1103/PhysRevD.65.126003 Phys. Rev. D65 126003 [hep-th/0111098] · doi:10.1103/PhysRevD.65.126003 |
[29] |
P.J. Steinhardt, 1983 Natural inflation, in The very early universe, G.W. Gibbons, S. Hawking and S. Siklos eds., Cambridge University Press, Cambridge, U.K. , pg. 251 |
[30] |
H. van Elst and C. Uggla, 1997 General relativistic (1+3) orthonormal frame approach revisited, https://doi.org/10.1088/0264-9381/14/9/021 Class. Quant. Grav.14 2673 [gr-qc/9603026] · Zbl 0888.53058 |
[31] |
H. van Elst, C. Uggla and J. Wainwright, 2002 Dynamical systems approach to G_2 cosmology, https://doi.org/10.1088/0264-9381/19/1/304 Class. Quant. Grav.19 51 [gr-qc/0107041] · Zbl 1008.83034 · doi:10.1088/0264-9381/19/1/304 |
[32] |
A. Vilenkin, 1983 The birth of inflationary universes, https://doi.org/10.1103/PhysRevD.27.2848 Phys. Rev. D27 2848 · doi:10.1103/PhysRevD.27.2848 |
[33] |
J.W. York, 1971 Gravitational degrees of freedom and the initial-value problem, https://doi.org/10.1103/PhysRevLett.26.1656 Phys. Rev. Lett.26 1656 · doi:10.1103/PhysRevLett.26.1656 |