Home
Resource
Scalar fields and spin-half fields on mildly singular spacetimes
PDF
PDF format is widely accepted and good for printing.
Plug-in required
PDF-1(591.19 kb)
Citation & Export
View Usage Statistics
Staff View

Citation & Export
Hide

Simple citation

Kallupalam Balasubramanian, Moulik. Scalar fields and spin-half fields on mildly singular spacetimes. Retrieved from https://doi.org/doi:10.7282/T3ZP480H

Export

Click here for information about Citation Management Tools at Rutgers.

Statistics
Hide

Description

TitleScalar fields and spin-half fields on mildly singular spacetimes
NameKallupalam Balasubramanian, Moulik (author); Tahvildar-Zadeh, Shadi (chair); Soffer, Avraham (internal member); Kiessling, Michael (internal member); Strain, Robert (outside member); Rutgers University; Graduate School - New Brunswick
Date Created2015
Other Date2015-05 (degree)
SubjectMathematics, Scalar field theory, Dirac equation
Extent1 online resource (vi, 71 p.)
DescriptionA charged particle-spacetime is a solution to Einstein’s equations coupled to a nonlinear electromagnetic theory. It has a mild curvature singularity and a bounded electric potential. Morawetz and Strichartz estimates are proved for spherically symmetric scalar waves on such a spacetime. These spacetimes have conical singularities at their centers. As a first step towards understanding the behavior of scalar waves on such spacetimes, a way to reproduce the known fundamental solution to the scalar wave equation on flat two-dimensional cones is found using Sommerfeld’s method. Dirac’s equation for a spin-half field is set up on a charged particle-spacetime. The Dirac Hamiltonian is shown to be essentially self-adjoint on smooth functions with compact support away from the center. The essential spectrum and the continuous spectrum of the Hamiltonian are obtained. Under a certain condition, a neighbourhood of zero is shown to be in the resolvent. The existence of infinitely many eigenvalues is shown.
NotePh.D.
NoteIncludes bibliographical references
Noteby Moulik Kallupalam Balasubramanian
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T3ZP480H
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
Version 8.5.5
Rutgers University Libraries - Copyright ©2024