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SUMMARY:Cylindrical Renormalization and Brown–York Mass in Melvin and Sc
 hwarzschild–Melvin Spacetimes
DTSTART;VALUE=DATE-TIME:20260820T210000Z
DTEND;VALUE=DATE-TIME:20260820T212000Z
DTSTAMP;VALUE=DATE-TIME:20260828T224220Z
UID:indico-contribution-1446@indico.uni.edu.pe
DESCRIPTION:Speakers: Alessandro Huaman (PUCP)\nWe study the Euclidean act
 ion and Brown–York quasilocal mass of the Melvin and Schwarzschild–\nM
 elvin geometries in four-dimensional Einstein–Maxwell theory. Since thes
 e spacetimes do not\nexhibit the usual spherically asymptotically flat beh
 avior\, we introduce a cylindrical regularization\nscheme adapted to the m
 agnetic axis. The boundary is placed at a fixed cylindrical radius\, while
 \nthe longitudinal interval is scaled with the radial cutoff. A sequential
  limiting procedure is then\nemployed to preserve the cylindrical structur
 e of the asymptotic region.\nWithin this framework\, we show that the stan
 dard Mann–Marolf-type counterterm does not remove the relevant divergenc
 es. We instead propose a local boundary counterterm constructed\nfrom the 
 norm of the axial Killing vector\, which captures the asymptotic behavior 
 of the azimuthal\ncircumference. This prescription cancels the leading div
 ergences without requiring background\nsubtraction.\nThe renormalized Eucl
 idean action and Brown–York mass both vanish for the pure Melvin univers
 e.\nFor the Schwarzschild–Melvin geometry\, the Euclidean action is one 
 half of the product of the\ninverse temperature and the black-hole mass pa
 rameter\, while the Brown–York mass equals the\nmass parameter. These re
 sults identify the Melvin universe as a zero-mass magnetic reference and\n
 show that the finite black-hole mass is preserved after cylindrical renorm
 alization.\n\nhttps://indico.uni.edu.pe/event/184/contributions/1446/
LOCATION:UNI\, Lima Perú Auditorio de la Facultad de Ciencias
URL:https://indico.uni.edu.pe/event/184/contributions/1446/
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