2007/05/31 by A. A. Saharian, Aram A Saharian, A. L. Mkhitaryan +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Brane #Brane cosmology #Cosmology and Gravitation Theories #Curvature #Gravitation #Minkowski space #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Scalar field #Spacetime #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/08/063
published as JHEP0708:063,2007 · 25 pages, 6 figures, discussion added
arxiv created 2007/08/22 · openalex publication_date 2007/08/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Positive frequency Wightman function, vacuum expectation values of the field square and the energy-momentum tensor induced by a Z2-symmetric brane with finite thickness located on (D+1)- dimensional AdS background are evaluated for a massive scalar field with general curvature coupling parameter. For the general case of static plane symmetric interior structure the expectation values in the region outside the brane are presented as the sum of free AdS and brane induced parts. For a conformally coupled massless scalar the brane induced part in the vacuum energy-momentum tensor vanishes. In the limit of strong gravitational fields the brane induced parts are exponentially suppressed for points not too close to the brane boundary. As an application of general results a special model is considered in which the geometry inside the brane is a slice of the Minkowski spacetime orbifolded along the direction perpendicular to the brane. For this model the Wightman function, vacuum expectation values of the field square and the energy-momentum tensor inside the brane are evaluated as well and their behavior is discussed in various asymptotic regions of the parameters. It is shown that for both minimally and conformally coupled scalar fields the interior vacuum forces acting on the brane boundaries tend to decrease the brane thickness.