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Technical Report CMS-TR-20130415


Title Noise Kernel for Self-similar Tolman Bondi Metric: Fluctuations on Cauchy Horizon
Author/s Seema Satin
Institute of Mathematical Sciences, Taramani, Chennai, India


Kinjalk Lochan
Tata Institute of Fundamental Research, Colaba, Mumbai, India


Sukratu Barve
Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007 India
Abstract We attempt to calculate the point separated Noise Kernel for self similar Tolman Bondi metric, using a method similar to that developed by Eftekharzadeh et. al for ultra-static spacetimes referring to the work by Page. In case of formation of a naked singularity, the Noise Kernel thus obtained is found to be regular except on the Cauchy horizon, where it diverges. The behavior of the noise in case of the formation of a covered singularity is found to be regular. This result seemingly renders back reaction non-negligible which questions the stability of the results obtained from the semiclassical treatment of the self similar Tolman Bondi metric.
Keywords
Download JournalarXiv
Citing This Document Seema Satin, Kinjalk Lochan, and Sukratu Barve , Noise Kernel for Self-similar Tolman Bondi Metric: Fluctuations on Cauchy Horizon . Technical Report CMS-TR-20130415 of the Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411007, India (2013); available at http://cms.unipune.ac.in/reports/.
Notes, Published Reference, Etc. Published as Phys. Rev. D 87, 084067 (2013)
Contact satin@imsc.res.in
kinjalk@tifr.res.in

sukratu AT cms.unipune.ac.in
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