Constructing the theory at the boundary, its dynamics and degrees of freedom

Rubalcava-Garcia, Irais

doi:10.48550/arxiv.2003.06241

Cited by 2 publications

(2 citation statements)

References 33 publications

(68 reference statements)

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“…Gauge theories defined in regions with boundaries have been the subject of extensive study from many different perspectives. To mention just a few of them: the boundary degrees of freedom and dynamics and symmetries on the boundary, conserved charges related to the boundary, consistency conditions on the boundary that the theory has to satisfy in order to be well defined (see, for example [1][2][3][4][5][6] and references therein), a holographic principle that allows one to relate a bulk theory with a boundary one [7][8][9], and many more [10][11][12][13][14]. It is no overstatement to affirm that the proper understanding of boundary contributions to a physical theory is of the uttermost importance.…”

Section: Introductionmentioning

confidence: 99%

Weakly isolated horizons: 3 + 1 decomposition and canonical formulations in self-dual variables

Corichi¹,

Reyes²,

Vukašinac³

2022

Class. Quantum Grav.

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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.

show abstract

Section: Introductionmentioning

confidence: 99%

Weakly isolated horizons: 3 + 1 decomposition and canonical formulations in self-dual variables

Corichi¹,

Reyes²,

Vukašinac³

2022

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…Gauge theories defined in regions with boundaries have been the subject of extensive study from many different perspectives. To mention just a few of them: The boundary degrees of freedom and dynamics and symmetries on the boundary, conserved charges related to the boundary, consistency conditions on the boundary that the theory has to satisfy in order to be well defined (see, for example [1-6] and references therein), a holographic principle that allows one to relate a bulk theory with a boundary one [7][8][9], and many more [10][11][12][13][14]. It is no overstatement to affirm that the proper understanding of boundary contributions to a physical theory is of the uttermost importance.…”

mentioning

confidence: 99%

Weakly Isolated Horizons: $3+1$ decomposition and canonical formulations in self-dual variables

Corichi¹,

Reyes²,

Vukašinac³

2022

Preprint

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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 recently introduced. 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.

show abstract

Constructing the theory at the boundary, its dynamics and degrees of freedom

Cited by 2 publications

References 33 publications

Weakly isolated horizons: 3 + 1 decomposition and canonical formulations in self-dual variables

Weakly isolated horizons: 3 + 1 decomposition and canonical formulations in self-dual variables

Weakly Isolated Horizons: $3+1$ decomposition and canonical formulations in self-dual variables

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