{"id":123273,"date":"2015-09-10T02:00:00","date_gmt":"2015-09-09T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=47094d6ae19b7a4c25d51f6be7a26d32"},"modified":"2015-09-10T02:00:00","modified_gmt":"2015-09-09T23:00:00","slug":"classroom-reconstruction-of-the-schwarzschild-metric","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=123273","title":{"rendered":"Classroom reconstruction of the Schwarzschild metric"},"content":{"rendered":"<p>A promising way to introduce general relativity (GR) in the classroom is to study the physical<br \/>\nimplications of certain given metrics, such as the Schwarzschild one. This involves lower<br \/>\nmathematical expenditure than an approach focusing on differential geometry in its full glory and<br \/>\npermits to emphasize physical aspects before attacking the field equations. Even so, in terms of<br \/>\nmotivation, lacking justification of the metric employed may pose an obstacle. The paper discusses<br \/>\nhow to establish the weak-field limit of the Schwarzschild metric with a minimum of relatively<br \/>\nsimple physical assumptions, avoiding the field equations but admitting the determination of a<br \/>\nsingle parameter from experiment. An attractive experimental candidate is the measurement of the<br \/>\nperihelion precession of Mercury, because the result was already known before the completion of GR.<br \/>\nIt is shown how to determine the temporal and radial coefficients of the Schwarzschild metric to<br \/>\nsufficiently high accuracy to o&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A promising way to introduce general relativity (GR) in the classroom is to study the physical<br \/>\nimplications of certain given metrics, such as the Schwarzschild one. This involves lower<br \/>\nmathematical expenditure than an approach focusing on differentia&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-123273","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/123273","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=123273"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/123273\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=123273"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=123273"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=123273"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}