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This is an extended version of my lecture at the LIII Cracow School of Theoretical Physics in Zakopane in which I presented the results of joint work with P. Bizoń (Phys. Rev. Lett. 111, 041102 (2013)) concerning (in)stability of the three-dimensional anti-de Sitter spacetime. [ABSTRACT FROM AUTHOR]

The relativistic theory of hydrodynamic fluctuations, or noise, is derived and applied to high energy heavy ion collisions. These fluctuations are inherent in any space-time varying system and are present in addition to initial state fluctuations. We illustrate the effects with the boost-invariant Bjorken solution to the hydrodynamic equations. Long range correlations in rapidity are induced by propagation of sound modes. The magnitude of these correlations is directly proportional to the viscosities. These fluctuations should be enhanced near a phase transition or rapid crossover. [ABSTRACT FROM AUTHOR]

This study is purposed to elaborate the problem of energy and momentum distribution of the Bell-Szekeres space time in general theory of relativity. In this connection, we use the energy-momentum definition of Møller and obtain that the energy momentum distributions (due to matter plus field) are vanishing everywhere. This results are exactly the same as viewpoint of Aygün et al. and agree with a previous work of Rosen, Salt et al. and Johri et al. who investigated the problem of the energy in Friedmann-Robertson-Walker universe. The result that the total energy-momentum of the universe in these models are zero support the viewpoint of Tryon. [ABSTRACT FROM AUTHOR]