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This article presents a comprehensive and rigorous overview of spacetime singularities within the framework of classical General Relativity. Singularities are defined through the failure of geodesic completeness, reflecting the limits of…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Jean-Pierre Luminet

This paper compares recent approaches appearing in the literature on the singularity problem for space-times with nonvanishing torsion.

General Relativity and Quantum Cosmology · Physics 2008-11-26 Giampiero Esposito

Lorentz violation is motivated by quantum gravity and it is generically described by nondynamical tensors. In this work a Lorentz violating extension of general relativity is studied where a nondynamical tensor couples to the Weyl tensor. A…

General Relativity and Quantum Cosmology · Physics 2020-03-30 Yuri Bonder , Christian Peterson

Beginning with the principle that a closed mechanical composite system is timeless, time can be defined by the regular changes in a suitable position coordinate (clock) in the observing part, when one part of the closed composite observes…

Quantum Physics · Physics 2021-10-05 John S. Briggs

The analysis of singular regions in the NUT solutions carried out in the recent paper (Manko and Ruiz, 2005 Class. Quantum Grav. 22, p.3555) is now extended to the Demianski-Newman vacuum and electrovacuum spacetimes. We show that the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. S. Manko , J. Martin , E. Ruiz

Inspired by previous work in 2+1 dimensional quantum gravity, which found evidence for a discretization of time in the quantum theory, we reexamine the issue for the case of pure Lorentzian gravity with vanishing cosmological constant and…

General Relativity and Quantum Cosmology · Physics 2009-09-28 T. G. Budd , R. Loll

A screened charge by a Yukawa potential implies that the corresponding electric field is assimptotically zero far away from a small radius scaling. Considering a screened charge, we have a modified metric of type Yukawa-Reissner-Nordstr\"om…

General Physics · Physics 2016-04-11 Thiago Prudencio

In the present article, we study the space-time geometry felt by probe bosonic string moving in antisymmetric and dilaton background fields. This space-time geometry we shall call the stringy geometry. In particular, the presence of the…

High Energy Physics - Theory · Physics 2007-05-23 Branislav Sazdovic

This paper focuses on two aspects of the statistics of cosmological observables that are important for the next stages of precision cosmology. First, we note that the theory of reduced angular $N$-point spectra has only been developed in…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-02 Ermis Mitsou , Jaiyul Yoo , Ruth Durrer , Fulvio Scaccabarozzi , Vittorio Tansella

Recent developments in observational cosmology call for understanding the nature of the cosmological singularity (CS). Our work proposes modelling the vicinity of CS by a time dependent orbifold (TDO). Our model makes sense if quantum…

General Relativity and Quantum Cosmology · Physics 2010-02-26 Przemyslaw Malkiewicz

We consider higher dimensional generalizations of the four dimensional topological Taub-NUT-AdS solutions, where the angular spheres are replaced by planes and hyperboloids. The thermodynamics of these configurations is discussed to some…

High Energy Physics - Theory · Physics 2011-08-03 Dumitru Astefanesei , Robert B. Mann , Eugen Radu

Recently a purportedly novel solution of the vacuum Einstein field equations was discovered: it supposedly describes an asymptotically flat twisted black hole in 4-dimensions whose exterior spacetime rotates in a peculiar manner -- the…

General Relativity and Quantum Cosmology · Physics 2017-01-24 Yen Chin Ong

The thin string limit of Cosmic Strings is investigated using a description in terms of Colombeau's theory of nonlinear generalised functions. It is shown that in this description the energy-momentum tensor has a well defined thin string…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K R P Sjodin , J A Vickers

We provide a general method for studying a manifestly covariant formulation of $p$-form gauge theories on the de Sitter space. This is done by stereographically projecting the corresponding theories, defined on flat Minkowski space, onto…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee

Exact Lense-Thirring (LT) precession in Kerr-Taub-NUT spacetime is reviewed. It is shown that the LT precession does not obey the general inverse cube law of distance at strong gravity regime in Kerr-Taub-NUT spacetime. Rather, it becomes…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Chandrachur Chakraborty

We investigate a biaxial Bianchi IX model with positive cosmological constant, which is sometimes called the Lambda-Taub-NUT spacetime, whose exact solution is well known. The minisuperspace of biaxial Bianchi IX models admits two…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Kento Osuga , Don N. Page

Assuming the von Neumann algebra associated with a generic de Sitter observer is properly infinite (type III) we use Connes cocycle to identify the unique ( up to unitary equivalence) background independent dominant weight on an extended…

High Energy Physics - Theory · Physics 2023-11-06 Cesar Gomez

Our answer is the latter. Space-time singularities, including the initial one, are described by world-sheet topological Abelian gauge theories with a Chern-Simons term. Their effective $N=2$ supersymmetry provides an initial fixed point…

High Energy Physics - Theory · Physics 2016-09-06 John Ellis , N. E. Mavromatos , D. V. Nanopoulos

In a sense of deformation quantization, noncommutative (NC) geometry introduces a quantum structure of spacetime. Using the twist-deformation formalism, we show that the dynamical effects of spacetime noncommutativity can amount to a…

High Energy Physics - Theory · Physics 2025-07-17 Dušan Đorđević , Dragoljub Gočanin

The Newman-Penrose equations for spacetimes having one spacelike Killing vector are reduced -- in a geometrically defined "canonical frame'' -- to a minimal set, and its differential structure is studied. Expressions for the frame vectors…

General Relativity and Quantum Cosmology · Physics 2009-11-10 S. Bonanos