{"id":88,"date":"2025-04-17T18:16:41","date_gmt":"2025-04-17T18:16:41","guid":{"rendered":"https:\/\/srodriguez.sites.grinnell.edu\/?page_id=88"},"modified":"2026-07-13T19:13:03","modified_gmt":"2026-07-13T19:13:03","slug":"research","status":"publish","type":"page","link":"https:\/\/srodriguez.sites.grinnell.edu\/?page_id=88","title":{"rendered":"Research"},"content":{"rendered":"\n<div class=\"wp-block-group has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-large-font-size wp-block-paragraph\"><strong>Black Hole Phenomenology<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-cover\" style=\"min-height:186px;aspect-ratio:unset;\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" class=\"wp-block-cover__image-background wp-image-16\" alt=\"\" src=\"https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/Apr-17-2025-at-10_26_07-AM.png\" style=\"object-position:50% 37%\" data-object-fit=\"cover\" data-object-position=\"50% 37%\" srcset=\"https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/Apr-17-2025-at-10_26_07-AM.png 1024w, https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/Apr-17-2025-at-10_26_07-AM-300x300.png 300w, https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/Apr-17-2025-at-10_26_07-AM-150x150.png 150w, https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/Apr-17-2025-at-10_26_07-AM-768x768.png 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"><\/span><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><\/p>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Black hole phenomenology explores the observable features and physical processes associated with black holes, helping bridge theory and astrophysical observations. Our group studies how energy can be extracted from rotating black holes, how their shadows form and what they reveal about spacetime geometry, how waves interact with black holes through phenomena like superradiance, and how quasi-normal modes of black holes carry information about their properties. These studies are conducted within the framework of general relativity and extended to modified gravity theories.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Recent publications (* Grinnell MAP student co-authors):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&#8220;Superradiant Suppression of Non-minimally Coupled Scalar fields for a Rotating Charged dS Black Hole in Conformal Weyl Gravity&#8221;, Owen Gartlan*, Jacob March*, Leo Rodriguez, Shanshan Rodriguez, Evan Shen*, Under Review by <em>Classical Quantum Gravity, <\/em>preprint: <a href=\"https:\/\/arxiv.org\/pdf\/2604.04352\">https:\/\/arxiv.org\/pdf\/2604.04352<\/a><\/li>\n\n\n\n<li>&#8220;Plasma effects on gravitational lensing and shadow observables of a Kerr-like black hole in a dark matter halo&#8221;, Connor McMillin*, Zhichen Guan*, Owen Gartlan*, Lotus Liu*, Leo Rodriguez, Shanshan Rodriguez, Accepted by <em>Physical Review D<\/em>, DOI: <a href=\"https:\/\/doi.org\/10.1103\/3rhg-y1hb\">https:\/\/doi.org\/10.1103\/3rhg-y1hb<\/a><\/li>\n\n\n\n<li>&#8220;Energy Extraction via Magnetic Reconnection from a Rotating Dyonic Black Hole in\u00a0N=2,\u00a0U(1)^2\u00a0Gauged Supergravity&#8221;, Raid Suleiman, Shanshan Rodriguez, Dominic Chang, Leo Rodriguez, preprint: <a href=\"https:\/\/arxiv.org\/pdf\/2606.23862\">https:\/\/arxiv.org\/pdf\/2606.23862<\/a><\/li>\n\n\n\n<li>&#8220;Energy extraction through magnetic reconnection from a Kerr-Newman black hole in perfect fluid dark matter&#8221;,&nbsp;Shanshan Rodriguez, Alex Sidler*, Leo Rodriguez, L. R. Ram\u2010Mohan, <em>Physics of the Dark Universe<\/em>, 48, 101961 (2025), <a href=\"https:\/\/doi.org\/10.1016\/j.dark.2025.101961\">https:\/\/doi.org\/10.1016\/j.dark.2025.101961<\/a><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<div class=\"wp-block-group has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-large-font-size wp-block-paragraph\"><strong>Duality between Gravity Theory and Condensed Matter Physics<\/strong><\/p>\n\n\n\n<div class=\"wp-block-cover\" style=\"min-height:186px;aspect-ratio:unset;\"><img loading=\"lazy\" decoding=\"async\" width=\"924\" height=\"538\" class=\"wp-block-cover__image-background wp-image-98 size-full\" alt=\"\" src=\"https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-17-at-2.01.32\u202fPM.png\" style=\"object-position:51% 0%\" data-object-fit=\"cover\" data-object-position=\"51% 0%\" srcset=\"https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-17-at-2.01.32\u202fPM.png 924w, https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-17-at-2.01.32\u202fPM-300x175.png 300w, https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-17-at-2.01.32\u202fPM-768x447.png 768w\" sizes=\"auto, (max-width: 924px) 100vw, 924px\" \/><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"><\/span><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><\/p>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">We explore connections between gravity theory and condensed matter physics through <strong>duality mappings<\/strong>. Our most recent work explores a duality between a quantum particle constrained to a curved 2D surface (daCosta&#8217;s paradigm) and 2D dilation gravity, suggesting that the quantum system&#8217;s behavior and its influence on the surface geometry can be described using a gravitational dual analogous to black hole physics. Another recent work outlines a duality between extraordinary magnetoresistance (EMR) in semiconductor-metal hybrids and generalized geometry\/gravity, where the conductivity tensor of EMR is mapped to a deformed metric in a framework inspired by string theory. This allows for applying gravitational concepts to address geometric optimization of EMR devices. Both approaches illustrate how gravity-inspired mathematical structures can provide novel perspectives and tools for understanding and potentially manipulating condensed matter systems. <br><br>Listen to this podcast for more details (generated by NotebookLM):<br><\/p>\n\n\n\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/Quantum-Particle-on-Curved-Surfaces-A-Geometrodynamical-Approach.mp3\"><\/audio><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Recent publications (* Grinnell MAP student co-authors):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&#8220;Geometrodynamics of a 2D curved surface due to a constrained quantum particle via its gravitational dual:&nbsp;S^2 analytical model calculations&#8221;,&nbsp;Shanshan Rodriguez,&nbsp;Leo Rodriguez,&nbsp;Zhenzhong Xing*,&nbsp;Connor McMillin*&nbsp;and&nbsp;L R Ram-Mohan,&nbsp;<em>Phys. Scr.<\/em><strong> <\/strong><strong>100<\/strong>&nbsp;055938 (2025),&nbsp;<a href=\"https:\/\/urldefense.proofpoint.com\/v2\/url?u=https-3A__doi.org_10.1088_1402-2D4896_adc858&amp;d=DwMFaQ&amp;c=HUrdOLg_tCr0UMeDjWLBOM9lLDRpsndbROGxEKQRFzk&amp;r=KwMKRt2R8oj_YQa21OsqvmQjgmZ_IC0U_njgYp1Fpgc&amp;m=KGQo1OMhF5ZR6QutGO32J59jkXw3fDwl3Z7XzDbvuQIBPkFzu5-fRZ4tVEt6m9FM&amp;s=Q06HCDY-RK_W-ZuArFw_GveIVhOQrznPvi6HoHyzhVo&amp;e=\">https:\/\/doi.org\/10.1088\/1402-4896\/adc858<\/a><\/li>\n\n\n\n<li> &#8220;Exploration of the duality between generalized geometry and extraordinary magnetoresistance&#8221;,&nbsp;Leo Rodriguez, Shanshan Rodriguez, Sathwik Bharadwaj, and L. R. Ram\u2010Mohan, <em>Phys. Rev. B,<\/em> 101, 174417 (2020), <a href=\"https:\/\/doi.org\/10.1103\/PhysRevB.101.174417\">https:\/\/doi.org\/10.1103\/PhysRevB.101.174417<\/a><\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<div class=\"wp-block-group has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-large-font-size wp-block-paragraph\"><strong>Black Hole Thermodynamics<\/strong><\/p>\n\n\n\n<div class=\"wp-block-cover\" style=\"min-height:182px;aspect-ratio:unset;\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" class=\"wp-block-cover__image-background wp-image-100\" alt=\"\" src=\"https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/a502d010-4f90-4c39-bb77-b3088d1511e4.png\" style=\"object-position:49% 29%\" data-object-fit=\"cover\" data-object-position=\"49% 29%\" srcset=\"https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/a502d010-4f90-4c39-bb77-b3088d1511e4.png 1024w, https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/a502d010-4f90-4c39-bb77-b3088d1511e4-300x300.png 300w, https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/a502d010-4f90-4c39-bb77-b3088d1511e4-150x150.png 150w, https:\/\/srodriguez.sites.grinnell.edu\/wp-content\/uploads\/2025\/04\/a502d010-4f90-4c39-bb77-b3088d1511e4-768x768.png 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"><\/span><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><\/p>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Black hole thermodynamics reveals a profound connection between gravity, thermodynamics, and quantum theory, with entropy playing a central role in understanding microscopic degrees of freedom. Our group investigates black hole entropy in the near-horizon regime, particularly focusing on extremal and near-extremal black holes where conventional thermodynamic descriptions break down.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Recent publications (* Grinnell MAP student co-authors):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&#8220;N\u00f6ther Currents, Black Hole Entropy Universality and CFT Duality in Conformal Weyl Gravity&#8221;, D. Aggarwal*, D. Chang, Q. D. Helmers*, N. Sivrioglu*, L. R. Ram\u2010Mohan, L. L. Rodriguez, S. L. Rodriguez, and R. Suleiman,<em>&nbsp;International Journal of Modern Physics D<\/em>, Vol. 32, No. 04, 2350017 (2023), <a href=\"https:\/\/doi.org\/10.1142\/S0218271823500177\">https:\/\/doi.org\/10.1142\/S0218271823500177<\/a><\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Black Hole Phenomenology Black hole phenomenology explores the observable features and physical processes associated with black holes, helping bridge theory and astrophysical observations. Our group studies how energy can be extracted from rotating black holes, how their shadows form and what they reveal about spacetime geometry, how waves interact with black holes through phenomena like [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-88","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/srodriguez.sites.grinnell.edu\/index.php?rest_route=\/wp\/v2\/pages\/88","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/srodriguez.sites.grinnell.edu\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/srodriguez.sites.grinnell.edu\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/srodriguez.sites.grinnell.edu\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/srodriguez.sites.grinnell.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=88"}],"version-history":[{"count":22,"href":"https:\/\/srodriguez.sites.grinnell.edu\/index.php?rest_route=\/wp\/v2\/pages\/88\/revisions"}],"predecessor-version":[{"id":185,"href":"https:\/\/srodriguez.sites.grinnell.edu\/index.php?rest_route=\/wp\/v2\/pages\/88\/revisions\/185"}],"wp:attachment":[{"href":"https:\/\/srodriguez.sites.grinnell.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=88"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}