- F(R) gravity & cosmology
- Relativistic statistical mechanics
- Dark matter & dark energy

The recent studies of dark matter and dark energy problems rely on (independent) modifications of both sides of the Einstein equations in order to explain current cosmic acceleration. The winter school will concern with both sides of the Einstein equations. The Einstein tensor determines the energy-momentum tensor of a fluid. In general, the relativistic fluid is more complex than just an ideal fluid. At the conference the statistical mechanics of such fluids and their consequences for the large scale cosmic evolution will be discussed. The school will be held in the mountain resort in the south-west of Poland. This is a continuation of the tradition of the Karpacz Winter schools which were organized for almost half a century.

Z. Haba (Head), A. Borowiec, Z. Popowicz, P. Ługiewicz (Secretary), A. Błaut (Treasurer), P. Gusin, M. Kamionka, A. Wojnar

Contact: karp49 [at] ift.uni.wroc.pl,

zhab [at] ift.uni.wroc.pl, borow [at] ift.uni.wroc.pl

Phone: (+48) 71 375 94 32, (+48) 71 375 94 06

Fax: (+48) 71 321 44 54

Address:

Institute of Theoretical Physics, Wroclaw University,

pl. M. Borna 9; 50-204 Wroclaw; Poland

Title of talk:

Abstract:

In this lecture we show that thermodynamics is sensitive to the existence of a fundamental spin tensor. In general, thermodynamics is not invariant by a change of the stress-energy tensor of a fundamental quantum field with a divergence transformation leaving the total energy, momentum and angular momentum unchanged. Among the quantities which are changed by such a transformation, there are densities at equilibrium with rotation and non-equilibrium ones like transport coefficients and total entropy. Therefore, at least in principle, it could be possible to probe the existence of a spin tensor, with major consequences for general relativistic theories, with a thermodynamics experiment.Title of talk:

Abstract:

Our knowledge of the Universe is eminently based on the theory of general relativity (GR). If from one hand, solar system data is in good agreement of the theory, available cosmological evidence on the other, is consistent with GR provided one assumes the existence of dark energy and dark matter. In these lectures we shall discuss the evidence on the existence of these dark entities as well as on a putative interaction between dark energy to dark matter. We shall also discuss alternative theories of gravity, more specifically a version of f(R) gravity models with a non-minimal coupling between curvature and matter, and the possibility that gravity is an emergent property of space-time.Title of talk:

Abstract:

We discuss the Hamiltonian dynamics for cosmologies coming from extended searching for Noether symmetries. The existence of conserved quantities gives selection rules to recover classical behaviors in cosmic evolution according to the so called Hartle criterion, that allows to select correlated regions in the configuration space of dynamical variables. We show that such a statement works for general classes of Extended Theories of Gravity and is conformally preserved. Furthermore, the presence of Noether symmetries allows a straightforward classification of singularities that represent the points where the symmetry is broken. Examples for nonminimally coupled and higher-order models are discussed.Title of talk:

Abstract:

The AdS/CFT correspondence postulates the equivalence between supersymmetric gauge theory and string theory in AdS5xS5 spacetime. It is especially useful as a tool for studying nonperturbative properties of gauge theory dynamics. In the course of these lectures I will describe the methods of the AdS/CFT correspondence which can be used to study far-from equilibrium dynamics of strongly coupled plasma. These methods provide a fascinating link between various features of gauge theory dynamics and general relativity.Title of talk:

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We describe different models of modified gravity, including F(R) theory, F(R,T) theory, Gauss-Bonnet and string inspired gravities as well as local covariant models. We show that such models naturally lead to unified description of cosmological dynamics at early as well as at late times. The different types of future evolution of the universe including the future singularities of Type I,II, III and IV as well as Little Rip cosmology are studied in detail.Title of talk 1:

Abstract:

The age of the Universe has been a matter of debate since ancient times. Nowadays, thanks to cosmological data, it is estimated around 13.7 Gyr. Here we review the different experimental methods used to determine it. The above figure happens to be compatible with the results of obtained by these methods.Title of talk 2:

Abstract:

Nowadays there is compelling evidence that, at present, the expansion of the Universe is accelerated. In Einstein gravity this acceleration is explained by invoking an exotic energy that has a huge energy pressure. More general gravity theories simply modify the Einstein-Hilbert action in ad hoc manner. Here we show that whathever its origin, this acceleration is consistent with the second law of thermodynamics in the sense that the entropy of the horizon plus that of matter and fields inside it must never decrese and it should approach a finite maximum in the long run. In this light, we may say that the acceleration could have beeen anticipated on thermodynamic grounds well before its experimental discovery.We are planning to publish all lectures in conference proceedings.

Contact: karp49 [at] ift.uni.wroc.pl

Contact phones:

Z. Haba: mobile +48 601 767 937 office: +48 71 375 94 32

A. Borowiec: mobile +48 665 596 186 office: +48 71 375 94 06

Contact phones:

Z. Haba: mobile +48 601 767 937 office: +48 71 375 94 32

A. Borowiec: mobile +48 665 596 186 office: +48 71 375 94 06