Gauge-invariant bounce from loop quantum gravity

被引:14
作者
Liegener, Klaus [1 ]
Singh, Parampreet [1 ]
机构
[1] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA
关键词
loop quantum cosmology; loop quantum gravity; singularity resolution; big bounce;
D O I
10.1088/1361-6382/ab7962
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a gauge-invariant treatment of singularity resolution using loop quantum gravity techniques with respect to local SU(2) transformations. Our analysis reveals many novel features of quantum geometry which were till now hidden in models based on non-gauge-invariant discretizations. Quantum geometric effects resolve the big bang singularity replacing it with a non-singular bounce when spacetime curvature reaches Planckian value. The bounce is found to be generically asymmetric in the sense that pre-bounce and post-bounce branches are not mirrored to each other and effective constants, such as Newton's constant, are rescaled across the bounce. Furthermore, in the vicinity of the bounce, minimally coupled matter behaves as non-minimally coupled. These ramifications of quantum geometry open a rich avenue for potential phenomenological signatures.
引用
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页数:9
相关论文
共 27 条
[11]   Is loop quantization in cosmology unique? [J].
Corichi, Alejandro ;
Singh, Parampreet .
PHYSICAL REVIEW D, 2008, 78 (02)
[12]   Cosmological effective Hamiltonian from full loop quantum gravity dynamics [J].
Dapor, Andrea ;
Liegener, Klaus .
PHYSICS LETTERS B, 2018, 785 :506-510
[13]   Cosmological coherent state expectation values in loop quantum gravity I. Isotropic kinematics [J].
Dapor, Andrea ;
Liegener, Klaus .
CLASSICAL AND QUANTUM GRAVITY, 2018, 35 (13)
[14]   Numerical simulations of loop quantum Bianchi-I spacetimes [J].
Diener, Peter ;
Joe, Anton ;
Megevand, Miguel ;
Singh, Parampreet .
CLASSICAL AND QUANTUM GRAVITY, 2017, 34 (09)
[15]   Numerical simulations of a loop quantum cosmos: robustness of the quantum bounce and the validity of effective dynamics [J].
Diener, Peter ;
Gupt, Brajesh ;
Singh, Parampreet .
CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (10)
[16]   Deriving loop quantum cosmology dynamics from diffeomorphism invariance [J].
Engle, Jonathan ;
Vilensky, Ilya .
PHYSICAL REVIEW D, 2018, 98 (02)
[17]   Discrete quantum gravity: A mechanism for selecting the value of fundamental constants [J].
Gambini, R ;
Pullin, J .
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2003, 12 (09) :1775-1781
[18]   Hamiltonian renormalisation I: derivation from Osterwalder-Schrader reconstruction [J].
Lang, T. ;
Liegener, K. ;
Thiemann, T. .
CLASSICAL AND QUANTUM GRAVITY, 2018, 35 (24)
[19]   Towards cosmological dynamics from loop quantum gravity [J].
Li, Bao-Fei ;
Singh, Parampreet ;
Wang, Anzhong .
PHYSICAL REVIEW D, 2018, 97 (08)
[20]  
Liegener K, 2020, COSMOLOGICAL C UNPUB