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Numerical Approaches to Spacetime Singularities [PDF]
, 2002 This Living Review updates a previous version which its itself an update of a
review article. Numerical exploration of the properties of singularities could,
in principle, yield detailed understanding of their nature in physically
realistic cases ...A A Kirillov, A A Kirillov, A A Moser, A Ashtekar, A B Burd, A Bonanno, A D Rendall, A D Rendall, A D Rendall, A E Motter, A H Norton, A M Abrahams, A M Abrahams, A Ori, A Ori, A Ori, A Ori, A Ori, A P Gentle, A Taub, A Zardecki, B Grubišić, B Grubišić, B Grubišić, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, C Barrabès, C Gundlach, C Gundlach, C Gundlach, C Gundlach, C Gundlach, C Gundlach, C M Chambers, C M Chambers, C M Chambers, C R Evans, C W Misner, D Christodoulou, D Christodoulou, D Eardley, D Eardley, D F Chernoff, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D M Eardley, D Maison, D R Brill, D S Goldwirth, D V Gal’tsov, D V Gal’tsov, D W Hobill, E E Donets, E Kasner, E Poisson, E Poisson, E Poisson, E Seidel, E W Hirschmann, E W Hirschmann, E W Hirschmann, F Echeverria, F J Tipler, F Mellor, F Mellor, F Pretorius, G F R Ellis, G Francisco, G Johnson, G Montani, G Rein, H Elst van, H Friedrich, H Iguchi, H Iguchi, H Iguchi, H Ringström, H Ringström, I M Khalatnikov, I Olabarrieta, J A Fleck, J A Isenberg, J C Niemeyer, J D Barrow, J D Barrow, J Isenberg, J Libson, J Masso, J Pullin, J Wojtkiewicz, J Yokoyama, K Ferraz, K Nakao, K P Tod, K S Thorne, L Andersson, L M Burko, L M Burko, L M Burko, L M Burko, L M Burko, L M Burko, L S Finn, M A Pelath, M Bañados, M H P M Putten van, M L Gnedin, M MacCallum, M P Ryan Jr., M P Ryan Jr., M Suzuki, M Suzuki, M W Browne, M W Choptuik, M W Choptuik, M Weaver, M Weaver, M Weaver, M Weaver, N Deruelle, N J Cornish, N J Cornish, O Iguchi, P Anninos, P Anninos, P Bizoń, P Bizoń, P Bizoń, P Bizoń, P Breitenlohner, P Breitenlohner, P Breitenlohner, P Halpern, P Hübner, P Hübner, P K-H Ma, P R Brady, P R Brady, P R Brady, P R Brady, P R Brady, P R Brady, P T Chrusciel, P T Chruściel, R Bartnik, R Carretero-Gonzalez, R H Gowdy, R M Wald, R M Wald, R Ove, R Penrose, R Penrose, R S Hamadé, R S Hamadé, R Schoen, R T Jantzen, R T Jantzen, S A Teukolsky, S Chandrasekhar, S Cotsakis, S D Hern, S Droz, S E Rugh, S E Rugh, S E Rugh, S Hod, S Hod, S Hod, S Hod, S Hod, S Husa, S J Hern, S Kichenassamy, S L Liebling, S L Shapiro, S L Shapiro, S L Shapiro, S M C V Gonçalves, S W Hawking, S W Hawking, S W Hawking, T Chiba, T Chiba, T Damour, T Damour, T Harada, T Harada, T Koike, T Nakamura, T Nakamura, T Nakamura, V A Belinskii, V A Belinskii, V A Belinskii, V A Belinskii, V A Belinskii, V A Belinskii, V A Belinskii, V G LeBlanc, V G LeBlanc, V Moncrief, V Moncrief, V Moncrief, V Moncrief, W H Press, W Israel, W Israel, Z B Belanger +232 morecore +3 more sourcesSimple quantum cosmology: Vacuum energy and initial state
, 2005 A static non-singular 10-dimensional closed Friedmann universe of Planck
size, filled with a perfect fluid with an equation of state with w = -2/3, can
arise spontaneously by a quantum fluctuation from nothing in 11-dimensional
spacetime.D. Spergel, D. Youm, E. Elbaz, M. Novello, M. Tegmark, S. Alexander, S. Eidelman, T. R. Mongan, T.R. Mongan +8 morecore +2 more sourcesQuantization of Midisuperspace Models [PDF]
, 2010 We give a comprehensive review of the quantization of midisuperspace models.
Though the main focus of the paper is on quantum aspects, we also provide an
introduction to several classical points related to the definition of these
models.A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Corichi, A Corichi, A Corichi, A Corichi, A Corichi, A Corichi, A Einstein, A Franzen, A Peltola, A Peltola, AD Helfer, AE Fischer, AS Lapedes, BG Schmidt, BK Berger, BK Berger, BK Berger, BK Berger, BK Berger, BS DeWitt, BS DeWitt, BS DeWitt, C Bartolo Di, C Bartolo Di, C Beetle, C Charach, C Charach, C Charach, C Fleischhack, C Kiefer, C Kiefer, C Kiefer, C Kiefer, C Vaz, C Vaz, C Vaz, C Vaz, C Vaz, C Vaz, C Vaz, C Vaz, C Vaz, CG Böhmer, CG Callan Jr, CG Torre, CG Torre, CG Torre, CG Torre, CG Torre, CG Torre, CG Torre, CG Torre, CJS Clarke, CW Misner, CW Misner, CW Misner, D Brizuela, D Chiou, D Giulini, D Gómez Vergel, D Gómez Vergel, D Kennefick, D Korotkin, D Korotkin, D Korotkin, D Korotkin, D Maison, D Shale, DE Neville, DE Neville, DE Neville, DHJ Cho, F Lund, G Beck, G Bonacina, GA Mena Marugán, GA Mena Marugán, GA Mena Marugán, GA Mena Marugán, GJF Barbero, GJF Barbero, GJF Barbero, GJF Barbero, GJF Barbero, GJF Barbero, GJF Barbero, GJF Barbero, GJF Barbero, GJF Barbero, GJF Barbero, H Osborn, H Stephani, HA Kastrup, HA Kastrup, HW Braden, I Bengtsson, I Kouletsis, IM Singer, J Bekenstein, J Cortez, J Cortez, J Cortez, J Cortez, J Cruz, J Engle, J Gegenberg, J Isenberg, J Lewandowski, J Louko, J Louko, J Louko, J Louko, J Louko, J Mäkelä, J Samuel, J Szenthe, JD Brown, JD Romano, JL Friedman, JW York Jr, K Banerjee, K Banerjee, KV Kuchař, KV Kuchař, KV Kuchař, KV Kuchař, L Modesto, L Modesto, L Modesto, L Modesto, L Modesto, L Modesto, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Campiglia, M Campiglia, M Carmeli, M Carmeli, M Cavaglià, M Cavaglià, M Henneaux, M Martín-Benito, M McGuigan, M Pierri, M Varadarajan, M Varadarajan, M Varadarajan, M Varadarajan, ME Angulo, ME Fels, MJ Gotay, MP Ryan Jr, N Manojlovioć, NMJ Woodhouse, P Hájíček, P Hájíček, P Hájíček, P Hájíček, P Hájíček, P Hájíček, P Hájíček, P Hájíček, PK Mitter, PS Mostert, PS Mostert, PT Chruściel, R Borissov, R Gambini, R Gambini, R Gambini, R Gambini, R Siegl, RH Gowdy, RH Gowdy, RM Wald, RM Wald, RP Geroch, RP Geroch, RS Palais, RT Jantzen, S Bose, S Chandrasekhar, S Holst, T Jacobson, T Regge, T Thiemann, V Husain, V Husain, V Husain, V Husain, V Husain, V Husain, V Husain, V Husain, V Husain, V Husain, V Husain, V Moncrief, VA Berezin, VF Mukhanov, WG Unruh +216 morecore +5 more sourcesCan chaos be observed in quantum gravity?
, 2017 Full general relativity is almost certainly 'chaotic'. We argue that this
entails a notion of nonintegrability: a generic general relativistic model, at
least when coupled to cosmologically interesting matter, likely possesses
neither differentiable ...Dittrich, Bianca, Hoehn, Philipp A., Koslowski, Tim A., Nelson, Mike I. +3 morecore +1 more sourceThe Geometry of Black Hole singularities [PDF]
, 2014 Recent results show that important singularities in General Relativity can be
naturally described in terms of finite and invariant canonical geometric
objects. Consequently, one can write field equations which are equivalent to
Einstein's at non-singular Stoica, Ovidiu Cristinelcore +3 more sourcesLoop Quantum Cosmology: Recent Progress
, 2004 Aspects of the full theory of loop quantum gravity can be studied in a
simpler context by reducing to symmetric models like cosmological ones. This
leads to several applications where loop effects play a significant role when
one is sensitive to the ...A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Ashtekar, A Okolow, C Rovelli, C Rovelli, C Rovelli, C Rovelli, G M Hossain, G W Gibbons, J F Barbero, J Z Simon, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, M Bojowald, Martin Bojowald, P Singh, T Thiemann, T Thiemann, V A Belinskii, V Husain +35 morecore +1 more sourceA no-singularity scenario in loop quantum gravity
, 2012 Canonical methods allow the derivation of effective gravitational actions
from the behavior of space-time deformations reflecting general covariance.Ashtekar A, Ashtekar A, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Cailleteau T Mielczarek J Barrau A Grain J, Date G, George M Paily, Henderson A Laddha A Tomlin C, Kreienbuehl A, Martin Bojowald, Perez A, Rendall A D, Reyes J D, Rovelli C, Rovelli C, Thiemann T, Thiemann T +23 morecore +1 more sourceWhat is General Relativity? [PDF]
, 2017 General relativity is a set of physical and geometric principles, which lead
to a set of (Einstein) field equations that determine the gravitational field,
and to the geodesic equations that describe light propagation and the motion of
particles on the ...Coley, Alan A., Wiltshire, David L.core +2 more sources
