{"id":{"repo_id":"wfu","oai_identifier":"oai:wakespace.lib.wfu.edu:10339/14923"},"canonical_url":"https://search.dev.ndltd.org/etd/wfu/oai:wakespace.lib.wfu.edu:10339/14923","repository":{"repo_id":"wfu","name":"Wake Forest University","base_url":"https://wakespace.lib.wfu.edu/oai/request"},"display":{"title":"Quantum Effects of the Massless Spin One-Half Field in Static Spherically Symmetric Black Hole and Wormhole Spacetimes","abstract":"The full renormalized stress-energy tensor for the massless spin one-half field is numerically computed on and outside the event horizon of an extreme Reissner-Nordstrom black hole and on and outside the throat of three static spherically symmetric Lorentzian wormhole spacetimes. The field and all spacetimes studied are in a zero temperature vacuum state. We treat the field quantum mechanically on a classical background spacetime governed by general relativity. The full stress-energy tensor is found to be finite and regular for all spacetimes. We make comparisons between the numerical calculation and the analytic approximation found by Groves {\\it et~al.} for the full stress-energy tensor. We find that the approximation is very poor in most cases, even getting the wrong sign for many components. For the extreme Reissner-Nordstr\\\"{o}m black hole, divergences predicted by the analytic approximation of are shown to be nonexistent. Lastly, the results for the full stress-energy tensors for wormholes are analyzed in terms of an arbitrary renormalization parameter to see if the ``exotic\" energy condition needed to keep such an object from collapsing are met. No wormhole geometry studied is found to be a self-consistent solution when quantum fluctuations of the spin one-half field are considered. This is in contrast to the results found using the analytic approximation for the massless spin-one half field which predicts that one of the wormholes might have a self-consistent solution, since the stress-energy tensor found satisfies the exotic energy condition.","abstract_html":"The full renormalized stress-energy tensor for the massless spin one-half field is numerically computed on and outside the event horizon of an extreme Reissner-Nordstrom black hole and on and outside the throat of three static spherically symmetric Lorentzian wormhole spacetimes. The field and all spacetimes studied are in a zero temperature vacuum state. We treat the field quantum mechanically on a classical background spacetime governed by general relativity. The full stress-energy tensor is found to be finite and regular for all spacetimes. We make comparisons between the numerical calculation and the analytic approximation found by Groves {\\it et~al.} for the full stress-energy tensor. We find that the approximation is very poor in most cases, even getting the wrong sign for many components. For the extreme Reissner-Nordstr\\"{o}m black hole, divergences predicted by the analytic approximation of are shown to be nonexistent. Lastly, the results for the full stress-energy tensors for wormholes are analyzed in terms of an arbitrary renormalization parameter to see if the ``exotic" energy condition needed to keep such an object from collapsing are met. No wormhole geometry studied is found to be a self-consistent solution when quantum fluctuations of the spin one-half field are considered. This is in contrast to the results found using the analytic approximation for the massless spin-one half field which predicts that one of the wormholes might have a self-consistent solution, since the stress-energy tensor found satisfies the exotic energy condition.","abstract_has_math":false,"creators":["Hirsch, William"],"institution":"Wake Forest University","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2009,"date_issued":"2009-08-06T15:56:23Z","date_published":"2009-08-06T15:56:23Z","updated_at":"2026-07-27T22:01:07Z","subjects":["wormhole"],"languages":["en_US"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10339/14923","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Hirsch, William"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2009-08-06T15:56:23Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2009-08-06T15:56:23Z"]},{"key":"dc:date.issued","label":"Date","values":["2009-08-06T15:56:23Z"]},{"key":"dc:publisher","label":"Institution","values":["Wake Forest University"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["wormhole"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10339/14923"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The full renormalized stress-energy tensor for the massless spin one-half field is numerically computed on and outside the event horizon of an extreme Reissner-Nordstrom black hole and on and outside the throat of three static spherically symmetric Lorentzian wormhole spacetimes. The field and all spacetimes studied are in a zero temperature vacuum state. We treat the field quantum mechanically on a classical background spacetime governed by general relativity. The full stress-energy tensor is found to be finite and regular for all spacetimes. We make comparisons between the numerical calculation and the analytic approximation found by Groves {\\it et~al.} for the full stress-energy tensor. We find that the approximation is very poor in most cases, even getting the wrong sign for many components. For the extreme Reissner-Nordstr\\\"{o}m black hole, divergences predicted by the analytic approximation of are shown to be nonexistent. Lastly, the results for the full stress-energy tensors for wormholes are analyzed in terms of an arbitrary renormalization parameter to see if the ``exotic\" energy condition needed to keep such an object from collapsing are met. No wormhole geometry studied is found to be a self-consistent solution when quantum fluctuations of the spin one-half field are considered. This is in contrast to the results found using the analytic approximation for the massless spin-one half field which predicts that one of the wormholes might have a self-consistent solution, since the stress-energy tensor found satisfies the exotic energy condition."]},{"key":"dc:title","label":"Title","values":["Quantum Effects of the Massless Spin One-Half Field in Static Spherically Symmetric Black Hole and Wormhole Spacetimes"]}]}],"canonical_facts":{"dc:creator":["Hirsch, William"],"dc:date.accessioned":["2009-08-06T15:56:23Z"],"dc:date.available":["2009-08-06T15:56:23Z"],"dc:date.issued":["2009-08-06T15:56:23Z"],"dc:description.abstract":["The full renormalized stress-energy tensor for the massless spin one-half field is numerically computed on and outside the event horizon of an extreme Reissner-Nordstrom black hole and on and outside the throat of three static spherically symmetric Lorentzian wormhole spacetimes. The field and all spacetimes studied are in a zero temperature vacuum state. We treat the field quantum mechanically on a classical background spacetime governed by general relativity. The full stress-energy tensor is found to be finite and regular for all spacetimes. We make comparisons between the numerical calculation and the analytic approximation found by Groves {\\it et~al.} for the full stress-energy tensor. We find that the approximation is very poor in most cases, even getting the wrong sign for many components. For the extreme Reissner-Nordstr\\\"{o}m black hole, divergences predicted by the analytic approximation of are shown to be nonexistent. Lastly, the results for the full stress-energy tensors for wormholes are analyzed in terms of an arbitrary renormalization parameter to see if the ``exotic\" energy condition needed to keep such an object from collapsing are met. No wormhole geometry studied is found to be a self-consistent solution when quantum fluctuations of the spin one-half field are considered. This is in contrast to the results found using the analytic approximation for the massless spin-one half field which predicts that one of the wormholes might have a self-consistent solution, since the stress-energy tensor found satisfies the exotic energy condition."],"dc:identifier.uri":["http://hdl.handle.net/10339/14923"],"dc:language.iso":["en_US"],"dc:publisher":["Wake Forest University"],"dc:subject":["wormhole"],"dc:title":["Quantum Effects of the Massless Spin One-Half Field in Static Spherically Symmetric Black Hole and Wormhole Spacetimes"],"dc:type":["Dissertation"]},"updated_at":"2026-07-27T22:01:07Z"}