Symmetries of the black hole interior and singularity regularization

Geiller, Marc; Livine, Etera R.; Sartini, Francesco

doi:10.21468/scipostphys.10.1.022

Cited by 30 publications

(78 citation statements)

References 118 publications

(200 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In a recent work [46] it has been unraveled that the black hole interior homogeneous model actually posses a non-trivial and finite dimensional symmetry algebra, isomorphic to the iso(2, 1) Poincaré algebra, that fully encodes the dynamics on the phase space. This is a generalization of what happens in flat FLRW cosmology coupled with a scalar field, in the isotropic case and for Bianchi I model [47][48][49][50][51][52][53][54], and it has very recently extended to (A)dS Schwarzschild solutions [55].…”

Section: Introductionmentioning

confidence: 99%

“…The outline of the paper is as follows: I start by reviewing the classical setup for black holes minisuperspace in section 2. I recall there the construction of [46], embedding a massless and zero spin realization of the iso(2, 1) algebra into the mechanical phase space. This algebra corresponds to the evolving version of the Noether charges of the ISO(2, 1) symmetry [46].…”

Section: Introductionmentioning

confidence: 99%

“…I recall there the construction of [46], embedding a massless and zero spin realization of the iso(2, 1) algebra into the mechanical phase space. This algebra corresponds to the evolving version of the Noether charges of the ISO(2, 1) symmetry [46]. Arguing that such a symmetry could be used as a guiding principle for the quantization, we build a quantum theory of black holes minisuperspace in section 3.…”

Section: Introductionmentioning

confidence: 99%

“…2 Classical symmetries of black hole minisuperspace I start by recalling the notations introduced in the precedent work [46]. In order to study the dynamics of the spherically symmetric homogeneous Kantowksi-Sachs cosmology, describing the Schwarzschild interior, we consider the line element…”

Section: Introductionmentioning

confidence: 99%

“…The diffeomorphism invariance of general relativity has been completely fixed, except for the time reparametrization. We face now two possibilities concerning the role of the lapse and the gauge freedom of the time coordinate [46]. On the one hand, we can work in coordinate time t and the equation of motion obtained varying the action with respect to the lapse N will correspond the so-called Hamiltonian constraint.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Group quantization of the black hole minisuperspace

Sartini

2021

Preprint

Self Cite

View full text Add to dashboard Cite

The emergence of non trivial symmetries for black holes minisuperspaces has been recently pointed out. These Noether symmetries possess non null charges and hence map physical solutions to different ones. The symmetry group is isomorphic to the finite dimensional Poincaré group ISO(2, 1), whose irreducible representations are well known. This structure is used to build a consistent quantum theory of black hole minisuperspace. This has, among others, the striking consequence of implying a continuous spectrum for the mass operator.Following loop quantum cosmology, we obtain a regularization scheme compatible with the symmetry structure. It is possible to study the evolution of coherent states following the classical trajectories in the low curvature regime. We show that this produces an effective metric where the singularity is replaced by a Killing horizon merging two asymptotically flat regions. The quantum correction comes from a fundamental discreteness of spacetime, and the uncertainty on the energy of the system. Remarkably the effective evolution of semiclassical states is described by an effective Hamiltonian, related to the original one through a canonical transformation.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Group quantization of the black hole minisuperspace

Sartini

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Edge modes as reference frames and boundary actions from post-selection

Carrozza

Hoehn

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We introduce a general framework realizing edge modes in (classical) gauge field theory as dynamical reference frames, an often suggested interpretation that we make entirely explicit. We focus on a bounded region M with a co-dimension one time-like boundary Γ, which we embed in a global spacetime. Taking as input a variational principle at the global level, we develop a systematic formalism inducing consistent variational principles (and in particular, boundary actions) for the subregion M. This relies on a post-selection procedure on Γ, which isolates the subsector of the global theory compatible with a general choice of gauge-invariant boundary conditions for the dynamics in M. Crucially, the latter relate the configuration fields on Γ to a dynamical frame field carrying information about the spacetime complement of M; as such, they may be equivalently interpreted as frame-dressed or relational observables. Generically, the external frame field keeps an imprint on the ensuing dynamics for subregion M, where it materializes itself as a local field on the time-like boundary Γ; in other words, an edge mode. We identify boundary symmetries as frame reorientations and show that they divide into three types, depending on the boundary conditions, that affect the physical status of the edge modes. Our construction relies on the covariant phase space formalism, and is in principle applicable to any gauge (field) theory. We illustrate it on three standard examples: Maxwell, Abelian Chern-Simons and non-Abelian Yang-Mills theories. In complement, we also analyze a mechanical toy-model to connect our work with recent efforts on (quantum) reference frames.

show abstract

Hidden symmetry of the static response of black holes: applications to Love numbers

Achour¹,

Livine

Mukohyama

et al. 2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We show that any static linear perturbations around Schwarzschild black holes enjoy a set of conserved charges which forms a centrally extended Schrödinger algebra $$ \mathfrak{sh} $$ sh (1) = $$ \mathfrak{sl} $$ sl (2, ℝ) ⋉ $$ \mathcal{H} $$ H . The central charge is given by the black hole mass, echoing results on black hole entropy from near-horizon diffeomorphism symmetry. The finite symmetry transformations generated by these conserved charges correspond to Galilean and conformal transformations of the static field and of the coordinates. This new structure allows one to discuss the static response of a Schwarzschild black hole in the test field approximation from a symmetry-based approach. First we show that the (horizontal) symmetry protecting the vanishing of the Love numbers recently exhibited by Hui et al., dubbed the HJPSS symmetry, coincides with one of the $$ \mathfrak{sl} $$ sl (2, ℝ) generators of the Schrödinger group. Then, it is demonstrated that the HJPSS symmetry is selected thanks to the spontaneous breaking of the full Schrödinger symmetry at the horizon down to a simple abelian sub-group. The latter can be understood as the symmetry protecting the regularity of the test field at the horizon. In the 4-dimensional case, this provides a symmetry protection for the vanishing of the Schwarzschild Love numbers. Our results trivially extend to the Kerr case.

show abstract

Symmetries of the black hole interior and singularity regularization

Cited by 30 publications

References 118 publications

Group quantization of the black hole minisuperspace

Group quantization of the black hole minisuperspace

Edge modes as reference frames and boundary actions from post-selection

Hidden symmetry of the static response of black holes: applications to Love numbers

Contact Info

Product

Resources

About