Weyl anomaly and initial singularity crossing

被引:10
作者
Awad, Adel [1 ,2 ]
机构
[1] British Univ Egypt, Ctr Theoret Phys, Sherouk City 11837, Egypt
[2] Ain Shams Univ, Fac Sci, Dept Phys, Cairo 11566, Egypt
关键词
PROBE WMAP OBSERVATIONS; DARK ENERGY; TRACE ANOMALIES; COSMOLOGY; QUANTUM; CONSTRAINTS; UNIVERSE; SUPERNOVAE; EQUATION; MATTER;
D O I
10.1103/PhysRevD.93.084006
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We consider the role of quantum effects, mainly, Weyl anomaly in modifying Friedmann-Lemaitre-Robertson-Walker (FLRW) model singular behavior at early times. Weyl anomaly corrections to FLRW models have been considered in the past, here we reconsider this model and show the following: The singularity of this model is weak according to Tipler and Krolak, therefore, the spacetime might admit a geodesic extension. Weyl anomaly corrections change the nature of the initial singularity from a big bang singularity to a sudden singularity. The two branches of solutions consistent with the semiclassical treatment form a disconnected manifold. Joining these two parts at the singularity provides us with a C-1 extension to nonspacelike geodesics and leaves the spacetime geodesically complete. Using Gauss-Codazzi equations one can derive generalized junction conditions for this higher-derivative gravity. The extended spacetime obeys Friedmann and Raychaudhuri equations and the junction conditions. The junction does not generate Dirac delta functions in matter sources which keeps the equation of state unchanged.
引用
收藏
页数:11
相关论文
共 70 条
[1]  
Abazajian K., ARXIVASTROPH0410239
[2]  
Abazajian K., ARXIVASTROPH0305492
[3]  
Abazajian K., ARXIVASTROPH0403325
[4]   Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters [J].
Allen, SW ;
Schmidt, RW ;
Ebeling, H ;
Fabian, AC ;
van Speybroeck, L .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2004, 353 (02) :457-467
[5]   Cosmological dynamics and dark energy with a nonlinear equation of state: A quadratic model [J].
Ananda, Kishore N. ;
Bruni, Marco .
PHYSICAL REVIEW D, 2006, 74 (02)
[6]  
[Anonymous], ARXIVASTROPH0408102
[7]   Universality of the operator product expansions of SCFT4 [J].
Anselmi, D ;
Freedman, DZ ;
Grisaru, MT ;
Johansen, AA .
PHYSICS LETTERS B, 1997, 394 (3-4) :329-336
[8]   Non-perturbative formulas for central functions of supersymmetric gauge theories [J].
Anselmi, D ;
Freedman, DZ ;
Grisaru, MT ;
Johansen, AA .
NUCLEAR PHYSICS B, 1998, 526 (1-3) :543-571
[9]   A critical behaviour of anomalous currents, electric-magnetic universality and CFT4 [J].
Anselmi, D ;
Grisaru, M ;
Johansen, A .
NUCLEAR PHYSICS B, 1997, 491 (1-2) :221-248
[10]   Cosmology from an Anti-de Sitter-Schwarzschild Black Hole via Holography [J].
Apostolopoulos, Pantelis S. ;
Siopsis, George ;
Tetradis, Nikolaos .
PHYSICAL REVIEW LETTERS, 2009, 102 (15)