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We classify simply-connected homogeneous ($D+1$)-dimensional spacetimes for kinematical and aristotelian Lie groups with $D$-dimensional space isotropy for all $D\geq 0$. Besides well-known spacetimes like Minkowski and (anti) de Sitter we…

High Energy Physics - Theory · Physics 2021-10-19 José Figueroa-O'Farrill , Stefan Prohazka

An analysis about the antisymmetric tensor matter fields Avdeev-Chizhov theory in a curved space-time is performed. We show, in a curved spacetime, that the Avdeev-Chizhov theory can be seen as a kind of a $\lambda\phi^{4}$ theory for a…

High Energy Physics - Theory · Physics 2007-10-04 C. A. S. Silva , R. R. Landim

We define space-times which are asymptotic to radiation dominant Friedman-Robertson-Walker space-times at timelike infinity and study the asymptotic structure. We discuss the local asymptotic symmetry and give a definition of the total…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tetsuya Shiromizu , Uchida Gen

This work deals with the analysis of cylindrically symmetric and stationary space-times $\mathcal{C}_{t}$ with closed timelike curves. The equation of motion describing the evolution of a massive scalar field in a $\mathcal{C}_{t}$…

General Relativity and Quantum Cosmology · Physics 2010-05-26 A. B. Pavan

By using the Bondi-Sachs-van der Burg formalism we analyze the asymptotic properties at null infinity of axisymmetric electrovacuum spacetimes with a translational Killing vector and, in general, an infinite ``cosmic string'' (represented…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , A. Pravdova

We describe a class of modified gravity theories that deform general relativity in a way that breaks time reversal invariance and, very mildly, locality. The algebra of constraints, local physical degrees of freedom, and their linearized…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Marina Cortes , Henrique Gomes , Lee Smolin

We analyze the behavior of causal geodesics on a Kerr-de Sitter spacetime with particular emphasis on their completeness property. We set up an initial value problem (IVP) whose solutions lead to a global understanding of causal geodesics…

General Relativity and Quantum Cosmology · Physics 2017-08-09 José Félix Salazar , Thomas Zannias

It is shown that in the noncommutative spacetime defined by the generalized Moyal product, consistent noncommutativity can be obtained independent of the coordinate system such as Cartesian or polar one. In addition, based on the fact that…

General Physics · Physics 2019-11-14 Ryouta Matsuyama , Michiyasu Nagasawa

We construct a set of conserved charges for asymptotically deSitter spacetimes that correspond to asymptotic conformal isometries. The charges are given by boundary integrals at spatial infinity in the flat cosmological slicing of deSitter.…

High Energy Physics - Theory · Physics 2009-11-07 David Kastor , Jennie Traschen

The new formulation of the causal completion of spacetimes suggested in [1], and modified later in [2], is tested by computing the causal boundary for product spacetimes of a Lorentz interval and a Riemannian manifold. This is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Alana , J. L. Flores

We give a Hamiltonian definition of mass for spacelike hypersurfaces in space-times with metrics which are asymptotic to the anti-de Sitter one, or to a class of generalizations thereof. We show that our definition provides a geometric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piotr T. Chrusciel , Gabriel Nagy

Examples in which spacetime might become non-Riemannian appear above Planck energies in string theory or, in the very early universe, in the inflationary model. The simplest such geometry is metric-affine geometry, in which {\it…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Yuval Ne'eman , Friedrich W. Hehl

In 1993 A. Ori \cite{Ori93} presented spacetimes violating the chronology condition in order to answer the question whether a time machine construction has to violate the weak energy condition or not. Later, in 2005 \cite{Ori05}, he…

General Relativity and Quantum Cosmology · Physics 2012-01-11 J. Dietz , A. Dirmeier , M. Scherfner

We initiate a comprehensive study of a set of solutions of topologically massive gravity known as null warped anti-de Sitter spacetimes. These are pp-wave extensions of three-dimensional anti-de Sitter space. We first perform a careful…

High Energy Physics - Theory · Physics 2010-11-30 Dionysios Anninos , Geoffrey Compère , Sophie de Buyl , Stéphane Detournay , Monica Guica

Quantum theories constructed on the noncommutative spacetime called the Groenewold-Moyal plane exhibit many interesting properties such as Lorentz and CPT noninvariance, causality violation and twisted statistics. We show that such…

High Energy Physics - Theory · Physics 2014-11-18 A. P. Balachandran , Anosh Joseph , Pramod Padmanabhan

An asymmetry exists between time and space in the sense that physical systems inevitably evolve over time whereas there is no corresponding ubiquitous translation over space. The asymmetry, which is presumed to be elemental, is represented…

Quantum Physics · Physics 2016-01-25 Joan A. Vaccaro

At first glance, it seems possible to construct in general relativity theory causality violating solutions. The most striking one is the Gott spacetime. Two cosmic strings, approaching each other with high velocity, could produce closed…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Reinoud Jan Slagter

The lack of a positive-definite and conserved energy is a serious obstacle in the black hole stability problem. In this work, we will show that there exists a positive-definite and conserved Hamiltonian energy for axially symmetric linear…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Nishanth Gudapati

Axially symmetric equilibrium configurations of the conformally invariant Willmore energy are shown to satisfy an equation that is two orders lower in derivatives of the embedding functions than the equilibrium shape equation, not one as…

Soft Condensed Matter · Physics 2009-11-11 Pavel Castro-Villarreal , Jemal Guven

We argue that in the context of string theory, the usual restriction to globally hyperbolic spacetimes should be considerably relaxed. We exhibit an example of a spacetime which only satisfies the causal condition, and so is arbitrarily…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Veronika E. Hubeny , Mukund Rangamani , Simon F. Ross