Null surface thermodynamics

Adami, H.; Sheikh-Jabbari, M. M.; Taghiloo, V.; Yavartanoo, Hossein

doi:10.1103/physrevd.105.066004

Cited by 35 publications

(40 citation statements)

References 44 publications

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“…In this slicing, W, T, Y A are state independent (δW = δT = δY A = 0). This name will be justified in section 6.1, see also [39]. The second one is a specific "genuine slicing".…”

Section: Surface Charge Analysismentioning

confidence: 93%

“…These charges commute with each other; moreover, entropy commutes with all other charges. These points will be discussed in more detail in section 6.1; see also [39] for more elaborations.…”

Section: Thermodynamical Slicingmentioning

confidence: 99%

“…Therefore, the boundary phase space in this case is labeled by Ω and Υ A , only. See [39] for a more detailed discussion.…”

Section: Vanishing Expansionmentioning

confidence: 99%

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Null boundary phase space: slicings, news and memory

Adami,

Grumiller,

Sheikh-Jabbari

et al. 2021

Preprint

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We construct the boundary phase space in D-dimensional Einstein gravity with a generic given co-dimension one null surface N as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of N and Weyl rescalings. It is generated by D towers of surface charges that are generic functions over N . These surface charges can be rendered integrable for appropriate slicings of the phase space, provided there is no graviton flux through N . In one particular slicing of this type, the charge algebra is the direct sum of the Heisenberg algebra and diffeomorphisms of the transverse space, N v for any fixed value of the advanced time v. Finally, we introduce null surface expansion-and spin-memories, and discuss associated memory effects that encode the passage of gravitational waves through N , imprinted in a change of the surface charges.

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“…In this slicing, W, T, Y A are state independent (δW = δT = δY A = 0). This name will be justified in section 6.1, see also [39]. The second one is a specific "genuine slicing".…”

Section: Surface Charge Analysismentioning

confidence: 93%

Section: Thermodynamical Slicingmentioning

confidence: 99%

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Null boundary phase space: slicings, news and memory

Adami,

Grumiller,

Sheikh-Jabbari

et al. 2021

Preprint

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“…extending the analysis of [1] to causal boundaries. Moreover, given that the null boundary thermodynamics [32] only relies on diffeomorphism invariance of the setting and not other details, it is plausible that there exists a thermodynamic description for generic causal boundary in D dimensions. We hope to explore these directions in future publications.…”

Section: Discussion and Concluding Remarksmentioning

confidence: 99%

“…In this appendix we review two other technical points we have used in our analysis, the notion of adjusted bracket [6,9] and the change of slicing over the solution space [2], see also [1,3,32,35].…”

Section: A Boundary Charges a Quick Reviewmentioning

confidence: 99%

Symmetries at Causal Boundaries in 2D and 3D Gravity

Adami,

Mao,

Sheikh-Jabbari

et al. 2022

Preprint

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We study 2d and 3d gravity theories on spacetimes with causal (timelike or null) codimension one boundaries while allowing for variations in the position of the boundary. We construct the corresponding solution phase space and specify boundary degrees freedom by analysing boundary (surface) charges labelling them. We discuss Y and W freedoms and change of slicing in the solution space. For D dimensional case we find D + 1 surface charges, which are generic functions over the causal boundary. We show that there exist solution space slicings in which the charges are integrable. For the 3d case there exists an integrable slicing where charge algebra takes the form of Heisenberg ⊕ A 3 where A 3 is two copies of Virasoro at Brown-Henneaux central charge for AdS 3 gravity and BMS 3 for the 3d flat space gravity.

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Null Raychaudhuri: canonical structure and the dressing time

Ciambelli,

Freidel,

Leigh

2024

J. High Energ. Phys.

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We initiate a study of gravity focusing on generic null hypersurfaces, non-perturbatively in the Newton coupling. We present an off-shell account of the extended phase space of the theory, which includes the expected spin-2 data as well as spin-0, spin-1 and arbitrary matter degrees of freedom. We construct the charges and the corresponding kinematic Poisson brackets, employing a Beltrami parameterization of the spin-2 modes. We explicitly show that the constraint algebra closes, the details of which depend on the non-perturbative mixing between spin-0 and spin-2 modes. Finally we show that the spin zero sector encodes a notion of a clock, called dressing time, which is dynamical and conjugate to the constraint.It is well-known that the null Raychaudhuri equation describes how the geometric data of a null hypersurface evolve in null time in response to gravitational radiation and external matter. Our analysis leads to three complementary viewpoints on this equation. First, it can be understood as a Carrollian stress tensor conservation equation. Second, we construct spin-0, spin-2 and matter stress tensors that act as generators of null time reparametrizations for each sector. This leads to the perspective that the null Raychaudhuri equation can be understood as imposing that the sum of CFT-like stress tensors vanishes. Third, we solve the Raychaudhuri constraint non-perturbatively. The solution relates the dressing time to the spin-2 and matter boost charge operators.Finally we establish that the corner charge corresponding to the boost operator in the dressing time frame is monotonic. These results show that the notion of an observer can be thought of as emerging from the gravitational degrees of freedom themselves. We briefly mention that the construction offers new insights into focusing conjectures.

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Null surface thermodynamics

Cited by 35 publications

References 44 publications

Null boundary phase space: slicings, news and memory

Null boundary phase space: slicings, news and memory

Symmetries at Causal Boundaries in 2D and 3D Gravity

Null Raychaudhuri: canonical structure and the dressing time

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