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In this brief note, we consider the variation of the entanglement entropy of a region as the shape of the entangling surface is changed. We show that the variation satisfies a Wess-Zumino like integrability condition in field theories which…

High Energy Physics - Theory · Physics 2015-05-30 Shamik Banerjee

Gravitation governs the expansion and fate of the universe, and the growth of large scale structure within it, but has not been tested in detail on these cosmic scales. The observed acceleration of the expansion may provide signs of…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-29 Eric V. Linder

Unconstrained partial-wave amplitudes obtained at discrete energies from fits to complete sets of experimental data may not vary smoothly with energy, and are in principle non-unique. We demonstrate how this behavior can be ascribed to the…

We prove that consistency of the holographic dictionary implies a hallmark prediction of the weak cosmic censorship conjecture: that in classical gravity, trapped surfaces lie behind event horizons. In particular, the existence of a trapped…

High Energy Physics - Theory · Physics 2021-08-23 Netta Engelhardt , Åsmund Folkestad

Bending the edge of a thin elastic material promotes rigidity far from its clamped boundary. However, this curvature-induced rigidity can be overwhelmed by gravity or other external loading, resulting in elastic buckling and large…

Soft Condensed Matter · Physics 2025-04-16 Hanzhang Mao , Thomas G. J. Chandler , Mark Han , Saverio E. Spagnolie

In this paper, we prove a similar result to the fundamental theorem of regular surfaces in classical differential geometry, which extends the classical theorem to the entire class of singular surfaces in Euclidean 3-space known as frontals.…

Differential Geometry · Mathematics 2019-10-08 Tito Alexandro Medina Tejeda

As discussed in the paper, in a matter-filled spacetime, perhaps with positive cosmological constant, a stable marginally outer trapped 2-sphere must satisfy a certain area inquality. Namely, its area must be bounded above by $4\pi/c$,…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Gregory J. Galloway

Degenerate scalar-tensor theories of gravity extend general relativity by a single degree of freedom, despite their equations of motion being higher than second order. In some cases, this is a mere consequence of a disformal field…

High Energy Physics - Theory · Physics 2020-09-18 Cédric Deffayet , Sebastian Garcia-Saenz

We consider spherically symmetric spacetimes with matter whose timelike flow is assumed to be shear-free. A number of results on the formation and visibility of spacetime singularities is proven, with the main one being that shear-free…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Sergio M. C. V. Goncalves

In the case of systems composed of identical particles, a typical instance in quantum statistical mechanics, the standard approach to separability and entanglement ought to be reformulated and rephrased in terms of correlations between…

Quantum Physics · Physics 2014-05-21 F. Benatti , R. Floreanini

We discuss a mechanism of spin decoherence in gravitation within the framework of general relativity. The spin state of a particle moving in a gravitational field is shown to decohere due to the curvature of spacetime. As an example, we…

Quantum Physics · Physics 2011-01-11 Hiroaki Terashima , Masahito Ueda

We extend effective field theory to the case of spontaneous symmetry breaking in genuinely finite quantum systems such as small superfluid systems, molecules or atomic nuclei, and focus on deformed nuclei. In finite superfluids, symmetry…

Nuclear Theory · Physics 2014-02-04 T. Papenbrock , H. A. Weidenmueller

It is quite likely that self-gravity will play an important role in the evolution of accretion discs, in particular those around young stars, and those around supermassive black holes. We summarise, here, our current understanding of the…

Solar and Stellar Astrophysics · Physics 2016-04-13 Ken Rice

Spherical models of collisionless but quasi-relaxed stellar systems have long been studied as a natural framework for the description of globular clusters. Here we consider the construction of self-consistent models under the same physical…

Astrophysics · Physics 2009-11-13 G. Bertin , A. L. Varri

In quantum many-body systems with kinetically constrained dynamics, the Hilbert space can split into exponentially many disconnected subsectors, a phenomenon known as Hilbert-space fragmentation. We study the interplay of such fragmentation…

Quantum Physics · Physics 2025-10-09 Thomas Iadecola

The increasing number and variety of extrasolar planets illustrates the importance of characterizing planetary perturbations. Planetary orbits are typically described by physically intuitive orbital elements. Here, we explicitly express the…

Earth and Planetary Astrophysics · Physics 2015-06-11 Dimitri Veras , N. Wyn Evans

The gravitational strength of the central singularity in spherically symmetric space-times is investigated. Necessary conditions for the singularity to be gravitationally weak are derived and it is shown that these are violated in a wide…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Brien C. Nolan

The processes leading deformation and destruction of planets spiraling into the convective envelope of their host stars are described. The planet is compressed by the ram pressure, and deformed into a flattened shape for which a…

Earth and Planetary Astrophysics · Physics 2018-09-19 Shi Jia , H. C. Spruit

The classical Laplace surface defines the location of circular particle orbits that do not undergo nodal precession around a planet with some obliquity. Close to the planet the surface coincides with the equator of the planet, while far…

Earth and Planetary Astrophysics · Physics 2025-04-01 Stephen H. Lubow , Gordon I. Ogilvie

Embedding diagrams prove to be quite useful when learning general relativity as they offer a way of visualizing spacetime curvature through warped two dimensional (2D) surfaces. In this manuscript we present a different 2D construct that…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Chad A. Middleton
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