{"id":184282,"date":"2016-02-22T03:00:00","date_gmt":"2016-02-22T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=eb689a407a4a316ff807661360a04109"},"modified":"2016-02-22T03:00:00","modified_gmt":"2016-02-22T00:00:00","slug":"application-of-the-euler-lagrange-method-in-determination-of-the-coordinate-acceleration","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=184282","title":{"rendered":"Application of the Euler\u2013Lagrange method in determination of the coordinate acceleration"},"content":{"rendered":"<p>In a recent comment published in this journal (2015 Eur. J. Phys. 36<br \/>\n[http:\/\/dx.doi.org\/10.1088\/0143-0807\/36\/3\/038001] 038001 ), Khrapko derived the relationship between<br \/>\ncoordinate acceleration and coordinate speed for the case of radial motion in Schwarzschild<br \/>\ncoordinates. We will show an alternative derivation based on the Euler\u2013Lagrange formalism. The<br \/>\nEuler\u2013Lagrange formalism has the advantage that it circumvents the tedious calculations of the<br \/>\nChristoffel symbols and it is more intuitive. Another aspect of our comment is that one should not<br \/>\ngive much physical meaning to coordinate dependent entities, GR is a coordinate free field, so, a<br \/>\nrelationship between two coordinate dependent entities, like the acceleration being dependent on<br \/>\nspeed, should not be given much importance. By contrast, the proper acceleration and proper speed,<br \/>\nare meaningful entities and their relationship is relevant. The comment is intended for graduate<br \/>\nstudents and for the inst&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In a recent comment published in this journal (2015 Eur. J. Phys. 36<br \/>\n[http:\/\/dx.doi.org\/10.1088\/0143-0807\/36\/3\/038001] 038001 ), Khrapko derived the relationship between<br \/>\ncoordinate acceleration and coordinate speed for the case of radial motion in Sc&#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-184282","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\/184282","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=184282"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/184282\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=184282"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=184282"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=184282"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}