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SUMMARY:Contributory: Homothetic Killing Horizons in Vaidya and Kerr–Vai
 dya Black Holes
DTSTART;VALUE=DATE-TIME:20261119T071500Z
DTEND;VALUE=DATE-TIME:20261119T073000Z
DTSTAMP;VALUE=DATE-TIME:20261026T232726Z
UID:indico-contribution-985@indico.narit.or.th
DESCRIPTION:Speakers: Ritwika Ghoshal (Indian Institute of Technology Kanp
 ur)\nI would like to give a presentation in which I will discuss the exist
 ence and physical implications of homothetic Killing vectors (HKVs) in a b
 road class of dynamical Vaidya spacetimes\, including generalized spherica
 lly symmetric Husain-type solutions and rotating Kerr–Vaidya geometries.
  By solving the conformal Killing equations\, it can be demonstrated that 
 these spacetimes admit a unique class of HKVs only when the dynamical para
 meters\, namely the mass\, charge\, and rotation parameter\, evolve linear
 ly with the advanced null coordinate. For Kerr–Vaidya spacetimes\, the e
 xistence of an HKV requires both the mass and angular momentum to be dynam
 ical and satisfy a definite relation between their rates of evolution. The
  null hypersurface where the HKV becomes null defines a homothetic Killing
  horizon (HKH)\, providing a natural generalization of the Killing horizon
  for nonstationary black holes. The presence of an HKV allows the original
  dynamical spacetime to be conformally mapped to a stationary spacetime\, 
 thereby enabling the application of standard geometric methods associated 
 with Killing horizons. Using this framework\, we analyse the geometric and
  thermodynamic properties of HKHs by evaluating different notions of surfa
 ce gravity and identifying the conformally invariant surface gravity relev
 ant for dynamical black-hole thermodynamics. Finally\, a maximal analytic 
 extension of a self-similar charged Vaidya spacetime is constructed the HK
 H framework provides a suitable setting for investigating the particle cre
 ation by Hawking radiation in dynamical backgrounds. These results establi
 sh homothetic symmetry as a powerful organizing principle for understandin
 g horizon geometry\, thermodynamics\, and quantum phenomena in a wide clas
 s of nonstationary black-hole spacetimes.\n\nhttps://indico.narit.or.th/ev
 ent/234/contributions/985/
LOCATION:Pattaya\, Thailand D Varee Jomtien Beach Pattaya Hotel
URL:https://indico.narit.or.th/event/234/contributions/985/
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