{"id":18,"date":"2019-06-21T10:43:13","date_gmt":"2019-06-21T09:43:13","guid":{"rendered":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/?page_id=18"},"modified":"2020-05-12T20:29:28","modified_gmt":"2020-05-12T19:29:28","slug":"research","status":"publish","type":"page","link":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<h2><\/h2>\n<hr \/>\n<p>The Einstein Field Equations (EFE\u2019s) are nonlinear, coupled, partial differential equations that describe the relation between the geometry of a region of spacetime and its matter\/energy content. A severe complication is that, with the exception of a few idealised cases characterised by high degrees of symmetry, the EFE\u2019s simply cannot be obtained analytically; we need a computer to do the heavy lifting for us. That being said, computers (for better or worse) lack a sense of humour; if you feed them nonsense, they <em>will<\/em> calculate nonsense.\u00a0Therefore, in order to find solutions to realistic (asymmetric) spacetimes, we need to be able<span class=\"Apple-converted-space\">\u00a0 <\/span>to somehow prescribe the right numerical recipe to the machine.This recipe comes in several different flavours (formalisms), the main ones being<\/p>\n<ul>\n<li>ADM (aka ADMY) formalism<\/li>\n<li>BSSN (aka BSSNOK) formalism<\/li>\n<li>Formulations of (covariant and) conformal Z4-like systems (e.g., Z4c &amp; fCCZ4)<\/li>\n<li>Generalised Harmonic Coordinates with Constraint Damping (GHCD)<\/li>\n<\/ul>\n<p>My main research interests lie in the study of asymmetric solutions to the EFE&#8217;s, using the full strength of numerical general relativity. At the moment, I am investigating \u00a0cases that are relevant to theoretical cosmology (bubble nucleation &amp; evolution). Other topics of interest are asymmetric solutions of Einstein-matter systems, as well as dynamics of compact objects (merger of black holes and neutron stars in binary systems).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Einstein Field Equations (EFE\u2019s) are nonlinear, coupled, partial differential equations that describe the relation between the geometry of a region of spacetime and its matter\/energy content. A severe complication is that, with the exception of a few idealised cases characterised by high degrees of symmetry, the EFE\u2019s simply cannot be obtained analytically; we need &hellip; <a href=\"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/research\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Research&#8221;<\/span><\/a><\/p>\n","protected":false},"author":8158,"featured_media":42,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-18","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/pages\/18","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/users\/8158"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/comments?post=18"}],"version-history":[{"count":10,"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/pages\/18\/revisions"}],"predecessor-version":[{"id":213,"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/pages\/18\/revisions\/213"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/media\/42"}],"wp:attachment":[{"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/media?parent=18"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}