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SUMMARY:Ladder Symmetry: The Necessary and Sufficient Condition for Vanish
 ing Love Numbers [Astrophysics Seminar]
DTSTART:20260602T100000Z
DTEND:20260602T110000Z
DTSTAMP:20260602T184300Z
UID:indico-event-440@events.iiap.res.in
CONTACT:colloqm@iiap.res.in
DESCRIPTION:Speakers: Chanchal Sharma (IIT Gandhinagar)\n\nAbstract: Blac
 k holes in four-dimensional asymptotically flat general relativity possess
  vanishing static tidal Love numbers (TLNs)\, a remarkable property whose 
 underlying origin has remained elusive. Recent works identified a hidden a
 lgebraic structure in the perturbation equations\, known as Ladder symmetr
 y\, which guarantees the absence of static scalar TLNs for a subclass of s
 pacetimes within the Konoplya–Rezzolla–Zhidenko (KRZ) parametrization.
  In this work\, we investigate whether Ladder symmetry is not only suffici
 ent\, but also necessary for the vanishing of static TLNs. We introduce pa
 rametric deformations away from Ladder-symmetric backgrounds and analyze t
 he resulting linear tidal response using the parametrized formalism for TL
 Ns. We show that any deviation from a Ladder-symmetric spacetime generical
 ly produces non-zero static scalar TLNs. Our results establish Ladder symm
 etry as both a necessary and sufficient condition for the vanishing of sta
 tic TLNs in static\, spherically symmetric black holes and in rotating bla
 ck holes within the KRZ class \n\nhttps://events.iiap.res.in/event/440/
LOCATION:Auditorium
URL:https://events.iiap.res.in/event/440/
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