The vacuole model: new terms in the second order deflection of light

作者:Bhattacharya Amrita*; Garipova Guzel M; Laserra Ettore; Bhadra Arunava; Nandi Kamal K
来源:Journal of Cosmology and Astroparticle Physics, 2011, (2): 028.
DOI:10.1088/1475-7516/2011/02/028

摘要

The present paper is an extension of a recent work (Bhattacharya et al. 2010) to the Einstein-Strauss vacuole model with a cosmological constant, where we work out the light deflection by considering perturbations up to order M-3 and confirm the light bending obtained previously in their vacuole model by Ishak et al. (2008). We also obtain another local coupling term -5 pi M-2 Lambda/8 related to Lambda, in addition to the one obtained by Sereno (2008, 2009). We argue that the vacuole method for light deflection is exclusively suited to cases where the cosmological constant Lambda disappears from the path equation. However, the original Rindler-Ishak method (2007) still applies even if a certain parameter gamma of Weyl gravity does not disappear. Here, using an alternative prescription, we obtain the known term -gamma R/2, as well as another new local term 3 pi gamma M/2 between M and gamma. Physical implications are compared, where we argue that the repulsive term -gamma R/2 can be masked by the Schwarzschild term 2M/R in the halo regime supporting attractive property of the dark matter.

  • 出版日期2011-2