caa a22 4500 467887802 CHVBK 20180406152739.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s10714-006-0271-8 doi (NATIONALLICENCE)springer-10.1007/s10714-006-0271-8 Viscous brane cosmology with a brane-bulk energy interchange term [Elektronische Daten] [Iver Brevik, Jon-Mattis Børven, Sebastian Ng] We assume a flat brane located at y = 0, surrounded by an AdS space, and consider the 5D Einstein equations when the energy flux component of the energy-momentum tensor is related to the Hubble parameter through a constant Q. We calculate the metric tensor, as well as the Hubble parameter on the brane, when Q is small. As a special case, if the brane is tensionless, the influence from Q on the Hubble parameter is absent. We also consider the emission of gravitons from the brane, by means of the Boltzmann equation. Comparing the energy conservation equation derived herefrom with the energy conservation equation for a viscous fluid on the brane, we find that the entropy change for the fluid in the emission process has to be negative. This peculiar effect is related to the fluid on the brane being a non-closed thermodynamic system. The negative entropy property for non-closed systems is encountered in other areas in physics also, in particular, in connection with the Casimir effect at finite temperature. Springer Science and Business Media Inc., New York, 2006 Brane cosmology nationallicence Viscous cosmology nationallicence Randall-Sundrum nationallicence Gravitons nationallicence Brevik Iver Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491, Trondheim, Norway aut Børven Jon-Mattis Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491, Trondheim, Norway aut Ng Sebastian Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491, Trondheim, Norway aut General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/5(2006-05-01), 907-915 0001-7701 38:5<907 2006 38 10714 https://doi.org/10.1007/s10714-006-0271-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0271-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Brevik Iver Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491, Trondheim, Norway aut NATIONALLICENCE 700 1- Børven Jon-Mattis Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491, Trondheim, Norway aut NATIONALLICENCE 700 1- Ng Sebastian Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491, Trondheim, Norway aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/5(2006-05-01), 907-915 0001-7701 38:5<907 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer