Resolving cosmological singularities

被引：99

作者：

Chamseddine, Ali H. ^{[1
,2
]}

Mukhanov, Viatcheslav ^{[3
,4
,5
]}

机构：

[1] Amer Univ Beirut, Phys Dept, Beirut, Lebanon

[2] IHES, F-91440 Bures Sur Yvette, France

[3] Niels Bohr Int Acad, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

[4] Ludwig Maxmillians Univ, Theoret Phys, Theresienstr 37, D-80333 Munich, Germany

[5] MPI Phys, Foehringer Ring 6, D-80850 Munich, Germany

来源：

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS | 2017年 / 03期

基金：

美国国家科学基金会;

关键词：

cosmic singularity; modified gravity; COLLAPSE;

D O I：

10.1088/1475-7516/2017/03/009

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We find a simple modification of the longitudinal mode in General Relativity which incorporates the idea of limiting curvature. In this case the singularities in contracting Friedmann and Kasner universes are avoided, and instead, the universe has a regular bounce which takes place during the time inversely proportional to the square root of the limiting curvature. Away from the bounce, corrections to General Relativity are negligible. In addition the non-singluar modification of General Relativity delivers for free a realistic candidate for Dark Matter.

引用

页数：12

共 12 条

[1] COSMOLOGICAL THEORY WITHOUT SINGULARITIES [J].

BRANDENBERGER, R ;

MUKHANOV, V ;

SORNBORGER, A .

PHYSICAL REVIEW D, 1993, 48 (04) :1629-1642

[2]

Chamseddine A.H., ARXIV161205860

[3] Scale invariance in the spectral action [J].

Chamseddine, AH ;

Connes, A .

JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (06)

[4] Quanta of Geometry: Noncommutative Aspects [J].

Chamseddine, Ali H. ;

Connes, Alain ;

Mukhanov, Viatcheslav .

PHYSICAL REVIEW LETTERS, 2015, 114 (09)

[5] Cosmology with Mimetic Matter [J].

Chamseddine, Ali H. ;

Mukhanov, Viatcheslav ;

Vikman, Alexander .

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2014, (06)

[6] Mimetic dark matter [J].

Chamseddine, Ali H. ;

Mukhanov, Viatcheslav .

JOURNAL OF HIGH ENERGY PHYSICS, 2013, (11)

[7] The Uncanny Precision of the Spectral Action [J].

Chamseddine, Ali H. ;

Connes, Alain .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 293 (03) :867-897

[8] COSMOLOGICAL EVENT HORIZONS, THERMODYNAMICS, AND PARTICLE CREATION [J].

GIBBONS, GW ;

HAWKING, SW .

PHYSICAL REVIEW D, 1977, 15 (10) :2738-2751

[9] SINGULARITIES OF GRAVITATIONAL COLLAPSE AND COSMOLOGY [J].

HAWKING, SW ;

PENROSE, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1970, 314 (1519) :529-&

[10]

Landau LD., 1971, The Classical Theory of Fields

← 1 2 →