{"id":{"repo_id":"uab","oai_identifier":"oai:digitalcommons.library.uab.edu:etd-collection-8102"},"canonical_url":"https://search.dev.ndltd.org/etd/uab/oai:digitalcommons.library.uab.edu:etd-collection-8102","repository":{"repo_id":"uab","name":"University of Alabama Birmingham","base_url":"https://digitalcommons.library.uab.edu/do/oai/"},"display":{"title":"A Development of a New Approach to the Static Axially Symmetric Einstein- Maxwell Field.","abstract":"Principle of General CovarianceSpecial relativity and classical mechanics share the principle of invariance of the laws of physics in all inertial reference frames. They differ in that the postulate of the constancy of the velocity of light holds in special relativity. On the other hand, the premise of general relativity is that the laws of physics be expressed in generally covariant equations. General covariance means that the equations expressing the laws have the same form for all reference frames. Such a formulation of the laws is made possible by using the tensor calculus developed by Ricci and LeviCivita. This follows from the fact that, due to the mathematical transformation rules of tensor quantities, if a tensor equation is true in one coordinate frame then it will be true in any other coordinate frame.","abstract_html":"Principle of General CovarianceSpecial relativity and classical mechanics share the principle of invariance of the laws of physics in all inertial reference frames. They differ in that the postulate of the constancy of the velocity of light holds in special relativity. On the other hand, the premise of general relativity is that the laws of physics be expressed in generally covariant equations. General covariance means that the equations expressing the laws have the same form for all reference frames. Such a formulation of the laws is made possible by using the tensor calculus developed by Ricci and LeviCivita. This follows from the fact that, due to the mathematical transformation rules of tensor quantities, if a tensor equation is true in one coordinate frame then it will be true in any other coordinate frame.","abstract_has_math":false,"creators":["Bentley, Stephen Linwood"],"institution":null,"degree_name":null,"degree_level":"Thesis","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1975,"date_issued":"1975-01-01T08:00:00Z","date_published":"1975-01-01T08:00:00Z","updated_at":"2026-07-24T05:05:33Z","subjects":["General covariance","Laws of physics","Special relativity","Classical mechanics","Inertial reference frames"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.library.uab.edu/etd-collection/7110","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Bentley, Stephen Linwood"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["General covariance","Laws of physics","Special relativity","Classical mechanics","Inertial reference frames"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.library.uab.edu/etd-collection/7110"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Principle of General CovarianceSpecial relativity and classical mechanics share the principle of invariance of the laws of physics in all inertial reference frames. They differ in that the postulate of the constancy of the velocity of light holds in special relativity. On the other hand, the premise of general relativity is that the laws of physics be expressed in generally covariant equations. General covariance means that the equations expressing the laws have the same form for all reference frames. Such a formulation of the laws is made possible by using the tensor calculus developed by Ricci and LeviCivita. This follows from the fact that, due to the mathematical transformation rules of tensor quantities, if a tensor equation is true in one coordinate frame then it will be true in any other coordinate frame."]},{"key":"dc:title","label":"Title","values":["A Development of a New Approach to the Static Axially Symmetric Einstein- Maxwell Field."]}]}],"canonical_facts":{"dc:creator":["Bentley, Stephen Linwood"],"dc:description.abstract":["Principle of General CovarianceSpecial relativity and classical mechanics share the principle of invariance of the laws of physics in all inertial reference frames. They differ in that the postulate of the constancy of the velocity of light holds in special relativity. On the other hand, the premise of general relativity is that the laws of physics be expressed in generally covariant equations. General covariance means that the equations expressing the laws have the same form for all reference frames. Such a formulation of the laws is made possible by using the tensor calculus developed by Ricci and LeviCivita. This follows from the fact that, due to the mathematical transformation rules of tensor quantities, if a tensor equation is true in one coordinate frame then it will be true in any other coordinate frame."],"dc:identifier":["https://digitalcommons.library.uab.edu/etd-collection/7110"],"dc:subject":["General covariance","Laws of physics","Special relativity","Classical mechanics","Inertial reference frames"],"dc:title":["A Development of a New Approach to the Static Axially Symmetric Einstein- Maxwell Field."],"thesis:degree_level":["Thesis"]},"updated_at":"2026-07-24T05:05:33Z"}