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In this contribution, we study spacetimes of cosmological interest, without making any symmetry assumptions. We prove a rigid Hawking singularity theorem for positive cosmological constant, which sharpens known results. In particular, it…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Gregory J. Galloway , Leonardo García-Heveling

We present a novel derivation of special relativity based on the information physics of events comprising a causal set. We postulate that events are fundamental, and that some events have the potential to receive information about other…

Mathematical Physics · Physics 2010-08-31 Kevin H. Knuth , Newshaw Bahrenyi

It is shown that in the extreme limit with a zero surface gravity but nonzero local temperature the limiting metric of a generic static black hole is determined by a metric induced on a horizon and one function of two coordinates,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 O. B. Zaslavskii

A change of spatial topology in a causal, compact spacetime cannot occur when the metric is globally Lorentzian. One can however construct a causal metric from a Riemannian metric and a Morse function on the background cobordism manifold,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Borde , H. F. Dowker , R. S. Garcia , R. D. Sorkin , S. Surya

We investigate the physical properties of equilibrium sequences of non-self-gravitating surfaces that characterize thick disks around a rotating deformed compact object described by a stationary generalization of the static q-metric. The…

General Relativity and Quantum Cosmology · Physics 2025-02-14 Shokoufe Faraji , Audrey Trova , Hernando Quevedo

We show that the fast moving component of the "bullet cluster" (1E0657-56) can induce potentially resolvable redshift differences between multiply-lensed images of background galaxies. The moving cluster effect can be expressed as the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Sandor M. Molnar , Tom Broadhurst , Keiichi Umetsu , Adi Zitrin , Yoel Rephaeli , Meir Shimon

We study the electrodynamics of generic charged particles (bosons, fermions, relativistic or not) constrained to move on an infinite plane. An effective gauge theory in 2+1 dimensional spacetime which describes the real electromagnetic…

High Energy Physics - Theory · Physics 2009-10-22 E. C. Marino

Three-dimensional Lorentzian quantum gravity, expressed as the continuum limit of a nonperturbative sum over spacetimes, is tantalizingly close to being amenable to analytical methods, and some of its properties have been described in terms…

High Energy Physics - Theory · Physics 2023-02-01 J. Brunekreef , R. Loll

It is well known that gravity in 2+1 dimensions can be recast as Chern-Simons theory, with the gauge group given by the local isometry group, depending on the metric signature and the cosmological constant. Point particles are added into…

High Energy Physics - Theory · Physics 2023-06-16 Tomasz Trześniewski

We study the geometry of the event horizon of a spacetime in which a small compact object plunges into a large Schwarzschild black hole. We first use the Regge-Wheeler and Zerilli formalisms to calculate the metric perturbations induced by…

General Relativity and Quantum Cosmology · Physics 2011-12-09 Ryan Hamerly , Yanbei Chen

Singularity theorems of general relativity utilize the notion of causal geodesic incompleteness as a criterion of the presence of a spacetime singularity. The incompleteness of a causal curve implies the end and/or beginning of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vladimir S. Mashkevich

Starting from a continuum theory of defects, that is the analogous to three-dimensional Einstein-Cartan-Sciama-Kibble gravity, we consider a charged particle with spin 1/2 propagating in a uniform magnetic field coincident with a wedge…

High Energy Physics - Theory · Physics 2015-06-26 S. A. Ali , C. Cafaro , S. Capozziello , Ch. Corda

We present an axially symmetric spacetime which contains closed timelike curves, and hence violates the causality condition. The metric belongs to type III in the Petrov classification scheme with vanishing expansion, shear and twist. The…

General Relativity and Quantum Cosmology · Physics 2020-04-30 Bidyut Bikash Hazarika

We present an impact of coupling between dark matter and a scalar field, which might be responsible for dark energy, on measurements of redshift-space distortions. We point out that, in the presence of conformal and/or disformal coupling,…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-22 Rampei Kimura , Teruaki Suyama , Masahide Yamaguchi , Daisuke Yamauchi , Shuichiro Yokoyama

In general relativity, the causal structure between events is dynamical, but it is definite and observer-independent; events are point-like and the membership of an event A in the future or past light-cone of an event B is an…

Quantum Physics · Physics 2020-07-13 Philippe Allard Guérin , Časlav Brukner

I present a way to visualize the concept of curved spacetime. The result is a curved surface with local coordinate systems (Minkowski Systems) living on it, giving the local directions of space and time. Relative to these systems, special…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rickard Jonsson

Lorentz symmetry has been tested at low energy with great accuracy, but its extrapolation to very high-energy phenomena is much less well established. We expect a possible breaking of Lorentz symmetry to be a very high energy and very short…

General Physics · Physics 2008-02-03 Luis Gonzalez-Mestres

We show that a compact manifold admitting a Killing foliation with positive transverse curvature fibers over finite quotients of spheres or weighted complex projective spaces, provided that the singular foliation defined by the closures of…

Differential Geometry · Mathematics 2022-10-05 Francisco C. Caramello , Dirk Toeben

We construct a positive constant curvature space by identifying some points along a Killing vector in a de Sitter Space. This space is the counterpart of the three-dimensional Schwarzschild-de Sitter solution in higher dimensions. This…

High Energy Physics - Theory · Physics 2009-11-07 Rong-Gen Cai

We consider Kerr spacetimes with parameters a and M such that |a|<< M, Kerr-Newman spacetimes with parameters |Q|<< M, |a|<< M, and more generally, stationary axisymmetric black hole exterior spacetimes which are sufficiently close to a…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Mihalis Dafermos , Igor Rodnianski