Weakly isolated horizons: 3+1 decomposition and canonical formulations in self-dual variables
Por:
Corichi, Alejandro, Reyes, Juan D., Vukasinac, Tatjana
Publicada:
5 ene 2023
Categoría:
Physics and astronomy (miscellaneous)
Resumen:
The notion of Isolated Horizons has played an important role in
gravitational physics, being useful from the characterization of the
endpoint of black hole mergers to (quantum) black hole entropy. In
particular, the definition of weakly isolated horizons (WIHs) as
quasilocal generalizations of event horizons is purely geometrical, and
is independent of the variables used in describing the gravitational
field. Here we consider a canonical decomposition of general relativity
in terms of connection and vierbein variables starting from a first
order action. Within this approach, the information about the existence
of a (weakly) isolated horizon is obtained through a set of boundary
conditions on an internal boundary of the spacetime region under
consideration. We employ, for the self-dual action, a generalization of
the Dirac algorithm for regions with boundary. While the formalism for
treating gauge theories with boundaries is unambiguous, the choice of
dynamical variables on the boundary is not. We explore this freedom and
consider different canonical formulations for non-rotating black holes
as defined by WIHs. We show that both the notion of horizon degrees of
freedom and energy associated to the horizon is not unique, even when
the descriptions might be self-consistent. This represents a
generalization of previous work on isolated horizons both in the
exploration of this freedom and in the type of horizons considered. We
comment on previous results found in the literature.
Filiaciones:
Corichi, Alejandro:
Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, UNAM Campus Morelia,A Postal 61-3, Morelia 58090, Michoacan, Mexico
Reyes, Juan D.:
Univ Autonoma Chihuahua, Fac Ingn, Nuevo Campus Univ, Chihuahua 31125, Mexico
Vukasinac, Tatjana:
Univ Michoacana, Fac Ingn Civil, Morelia 58000, Michoacan, Mexico
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