Matches in SemOpenAlex for { <https://semopenalex.org/work/W2029937474> ?p ?o ?g. }
- W2029937474 abstract "Lemaitre-Tolman-Bondi models as specific spherically symmetric solutions of general relativity simplify in their reduced form some of the mathematical ingredients of black hole or cosmological applications. The conditions imposed in addition to spherical symmetry turn out to take a simple form at the kinematical level of loop quantum gravity, which allows a discussion of their implications at the quantum level. Moreover, the spherically symmetric setting of inhomogeneity illustrates several nontrivial properties of lattice refinements of discrete quantum gravity. Nevertheless, the situation at the dynamical level is quite nontrivial and thus provides insights to the anomaly problem. At an effective level, consistent versions of the dynamics are presented which implement the conditions together with the dynamical constraints of gravity in an anomaly-free manner. These are then used for analytical as well as numerical investigations of the fate of classical singularities, including nonspacelike ones, as they generically develop in these models. None of the corrections used here resolve those singularities by regular effective geometries. However, there are numerical indications that the collapse ends in a tamer shell-crossing singularity prior to the formation of central singularities for mass functions giving a regular conserved mass density. Moreover, we find quantum gravitational obstructions to the existence of exactly homogeneous solutions within this class of models. This indicates that homogeneous models must be seen in a wider context of inhomogeneous solutions and their reduction in order to provide reliable dynamical conclusions." @default.
- W2029937474 created "2016-06-24" @default.
- W2029937474 creator A5065874125 @default.
- W2029937474 creator A5071534209 @default.
- W2029937474 creator A5072848771 @default.
- W2029937474 date "2008-09-22" @default.
- W2029937474 modified "2023-09-28" @default.
- W2029937474 title "Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity" @default.
- W2029937474 cites W1859500156 @default.
- W2029937474 cites W1931944665 @default.
- W2029937474 cites W1947273351 @default.
- W2029937474 cites W1966806914 @default.
- W2029937474 cites W1969990867 @default.
- W2029937474 cites W1970506206 @default.
- W2029937474 cites W1971910351 @default.
- W2029937474 cites W1971910501 @default.
- W2029937474 cites W1975052774 @default.
- W2029937474 cites W1977735326 @default.
- W2029937474 cites W1978410670 @default.
- W2029937474 cites W1985919473 @default.
- W2029937474 cites W1987377516 @default.
- W2029937474 cites W1990586223 @default.
- W2029937474 cites W1994154812 @default.
- W2029937474 cites W1997075252 @default.
- W2029937474 cites W2009545519 @default.
- W2029937474 cites W2010731240 @default.
- W2029937474 cites W2014592317 @default.
- W2029937474 cites W2014938519 @default.
- W2029937474 cites W2016778016 @default.
- W2029937474 cites W2018885617 @default.
- W2029937474 cites W2019617007 @default.
- W2029937474 cites W2024232930 @default.
- W2029937474 cites W2025873752 @default.
- W2029937474 cites W2028590740 @default.
- W2029937474 cites W2029403139 @default.
- W2029937474 cites W2029479897 @default.
- W2029937474 cites W2033194110 @default.
- W2029937474 cites W2037542155 @default.
- W2029937474 cites W2044206065 @default.
- W2029937474 cites W2045535918 @default.
- W2029937474 cites W2053157656 @default.
- W2029937474 cites W2055842859 @default.
- W2029937474 cites W2060198182 @default.
- W2029937474 cites W2060555983 @default.
- W2029937474 cites W2061207049 @default.
- W2029937474 cites W2062908991 @default.
- W2029937474 cites W2070707213 @default.
- W2029937474 cites W2071226875 @default.
- W2029937474 cites W2075313176 @default.
- W2029937474 cites W2080098581 @default.
- W2029937474 cites W2080374726 @default.
- W2029937474 cites W2081561221 @default.
- W2029937474 cites W2086139158 @default.
- W2029937474 cites W2087808737 @default.
- W2029937474 cites W2087920395 @default.
- W2029937474 cites W2088035388 @default.
- W2029937474 cites W2092910912 @default.
- W2029937474 cites W2093060559 @default.
- W2029937474 cites W2094875591 @default.
- W2029937474 cites W2095267121 @default.
- W2029937474 cites W2097523349 @default.
- W2029937474 cites W2098586539 @default.
- W2029937474 cites W2101450465 @default.
- W2029937474 cites W2107305737 @default.
- W2029937474 cites W2116398596 @default.
- W2029937474 cites W2120184198 @default.
- W2029937474 cites W2123365287 @default.
- W2029937474 cites W2126106103 @default.
- W2029937474 cites W2127601629 @default.
- W2029937474 cites W2128862826 @default.
- W2029937474 cites W2137339482 @default.
- W2029937474 cites W2142408106 @default.
- W2029937474 cites W2147420631 @default.
- W2029937474 cites W2154084848 @default.
- W2029937474 cites W2154346444 @default.
- W2029937474 cites W2157957584 @default.
- W2029937474 cites W2159485102 @default.
- W2029937474 cites W2166323466 @default.
- W2029937474 cites W2225468140 @default.
- W2029937474 cites W2962712049 @default.
- W2029937474 cites W3021615542 @default.
- W2029937474 cites W3098446472 @default.
- W2029937474 cites W3099128362 @default.
- W2029937474 cites W3100200593 @default.
- W2029937474 cites W3101437371 @default.
- W2029937474 cites W3101498511 @default.
- W2029937474 cites W3101523346 @default.
- W2029937474 cites W3102720532 @default.
- W2029937474 cites W3103450480 @default.
- W2029937474 cites W3103709171 @default.
- W2029937474 cites W3104785168 @default.
- W2029937474 cites W3105509044 @default.
- W2029937474 cites W3105919049 @default.
- W2029937474 cites W3106099933 @default.
- W2029937474 cites W3123789075 @default.
- W2029937474 cites W3124386867 @default.
- W2029937474 cites W3124571293 @default.
- W2029937474 cites W4210986517 @default.
- W2029937474 cites W4210992751 @default.
- W2029937474 cites W4231655288 @default.