the Cosmological Constant Problem Roland TRIAY Centre de

the Cosmological Constant Problem Roland TRIAY Centre de Physique Théorique CNRS Université de Provence Int. Journ. Mod. Phys. D 14, 10, 1667 (2005) Nonlinear Cosmological Workshop - NCP (2006) Nice

the Cosmological Constant “Einstein’s biggest blunder” Prelude • Observations • Geometrical Status • Modeling Gravitational Structures

Observations - the 80 th In the past : • Dynamics of galaxies in clusters • Minimum age of the Universe In the 80’s: Hubble diagram (QSOs, BCGs), VLSS (QSOs) (spatially) closed Universe

Observations - Nowadays : CMB temperature fluctuations Hubble diagram (Super. Novæ)

Observations-SNa A. G. Riess etal astro-ph/0402512

Observations - Nowadays A. V Filippenko astro-ph/0410609

Face to the L-Problem « The Cosmological Constant From the Viewpoint of String Th. » E. Witten 2000 « The Cosmological Constant Problems » S. Weinberg 2000 « The Cosmological Constant » S. Carrol 2000 « The Case for a Positive Cosmological L-term » V. Sahni, A. Starobinsky 2000 « The Cosmological Constant and Dark Energy » P. J. E. Peebles, B. Ratra 2002 « On the Casimir Energy Contribution to the Obs. Value of … » I. O Cherednikov 2002 « The Cosmological Constant Problem » J. W. Moffat 2003 « Cosmological Constant Weight of the Vacuum » T. Padmanabham 2003 …

Status of L�- �Geometry) The gravitational field and its sources are characterized by Schwarzschild solution - Newton approximation

Dimensional analysis of EE

Modeling gravitational structures (Modified) Newton law With L : Gravitation becomes repulsive at “large” scale • No L-effect in Solar neighborhood • Small effect in the outerpart of the Galaxy • Intervenes at the edge of LSC • Homogeneity scale

The cosmological Constant Problem The contribution of quantum fluctuations A similar problem happens when one assumes • Solar neighborhood • Primordial epoch ( Vacuum dominate expansion) Another version of the Cosmological Constant Problem

Understanding the acceleration of the cosmological expansion Rescaling !!! Understanding Quantum Gravity !!!