61. Zdzisław A. Golda, Andrzej Woszczyna, Karolina Zawada Canonical gauge-invariant variables Acta Phys. Pol., B , vol. B36, p. 2133 (2005). [abstract] [preprint] [journal] |
Abstract: Under an appropriate change of the perturbation variable Lifshitz-Khalatnikov propagation equations for the scalar perturbation reduce to d'Alembert equation. The change of variables is based on the Darboux transform |
62. Leszek M. Sokołowski Elementy Kosmologii (ZamKor 2005) ISBN: 83-88830-39-2 [opis] |
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63. Christopher M. Hirata, Rachel Mandelbaum, Uros Seljak, Jacek Guzik, Nikhil Padmanabhan, Cullen Blake et al. (SDSS) Galaxy-galaxy weak lensing in the Sloan Digital Sky Survey: intrinsic alignments and shear calibration errors MNRAS, vol. 353, p. 529 (2004). [preprint] [journal] |
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64. G. Siemieniec-Ozieblo, A. Woszczyna Acoustic instabilities at the transition from the radiation-dominated to the matter-dominated universe Astron. Astrophys. , vol. 419, pp. 801-810 (2004). [abstract] [preprint] [journal] |
Abstract: The transition from acoustic noise in the radiation-dominated universe to the density structures in the matter dominated epoch is considered. The initial state is a stochastic field of sound waves moving in different directions. The construction of the initial state is compatible with the hyperbolic type of propagation equation for density perturbations, and parallel to the theory of stochastic background of gravitational waves. Instantaneous transition between the cosmological epochs is assumed, and Darmois-Israel joining conditions are applied to match solutions for sound waves with growing or decaying modes at the decoupling. As a result a substantial amplification of the low scale structures is obtained.
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65. G. Siemieniec-Oziębło, Z. A. Golda Magnetic amplification in cylindrical cosmological structure Astron. Astrophys., vol. 422, pp. 23-27 (2004). [abstract] [preprint] [journal] |
Abstract: We derive the amplification of the cosmological magnetic field associated with forming gravitational structure. The self-similar solutions of magnetohydrodynamic equations are computed both in linear and nonlinear regimes. We find that the relatively fast magnetic field enhancement becomes substantial in the nonlinear phase. |
66. Leszek M. Sokołowski Restrictions on possible forms of classical matter fields carrying no energy Acta Phys. Polon. , vol. B35, pp. 587-612 (2004). [abstract] [preprint] [journal] |
Abstract: It is postulated in general relativity that the matter energy-momentum tensor (named the stress tensor) vanishes if and only if all the matter fields vanish. In classical lagrangian field theory the stres tensor is the variational (symmetric) one and a priori it might occur that for some systems the tensor is identically zero for all field configurations whereas evolution of the system is subject to deterministic equations of motion. Such a system would not generate its own gravitational field. To check if such systems may exist we find a relationship between the stress tensor and the Euler operator. We prove that if a system of n interacting scalar fields (n cannot exceed the spacetime dimension d) or a single vector field (if d is even) has the stress tensor such that its divergence is identically zero ("on and off shell"), then the Lagrange equations of motion hold identically too. These systems are unphysical as having no propagation equations at all. Thus nontrivial field equations imply the nontrivial stress tensor. The theorem breaks down if the of the field components n is greater than d. We show that for n>d matter systems without energy and their own gravity (and yet detectable) are in principle admissible. Their equations of motion are degenerate. We also show for which matter systems their stress tensors cannot vanish for all solutions of the field equations.
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