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It is shown that within conformally flat stationary axisymmetric spacetimes, besides of the static family, there exists a new class of metrics, which is always stationary and axisymmetric. All these spacetimes, the static and the stationary…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Alberto A. Garcia , Cuauhtemoc Campuzano

We prove the spacetime Penrose inequality for asymptotically flat $2(n+1)$-dimensional initial data sets for the Einstein equations, which are invariant under a cohomogeneity one action of $\mathrm{SU}(n+1)$. Analogous results are obtained…

Differential Geometry · Mathematics 2024-04-23 Marcus Khuri , Hari Kunduri

A theorem related to the Newman-Penrose constants is proven. The theorem states that all the Newman-Penrose constants of asymptotically flat, stationary, asymptotically algebraically special electrovacuum spacetimes are zero.…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Xiangdong Zhang , Xiaoning Wu , Sijie Gao

We construct static, spherically symmetric black hole solutions in scalar extended ghost-free massive gravity and show the existence of hairy black holes in this class of extension. While the existence seems to be a generic feature, we…

High Energy Physics - Theory · Physics 2016-01-08 Andrew J. Tolley , De-Jun Wu , Shuang-Yong Zhou

The classification of all possible induced representations arising from theories admitting a Poincar\'e symmetry has molded our very conception of particles in flat space. In this note, we argue that if one takes the same viewpoint on the…

High Energy Physics - Theory · Physics 2025-06-16 Shadi Ali Ahmad

In this paper we study asymptotically hyperbolic manifolds given as graphs of asymptotically constant functions over hyperbolic space $\bH^n$. The graphs are considered as subsets of $\bH^{n+1}$ and carry the induced metric. For such…

Differential Geometry · Mathematics 2013-06-07 Mattias Dahl , Romain Gicquaud , Anna Sakovich

We formulate the variational problem for AdS gravity with Dirichlet boundary conditions and demonstrate that the covariant counterterms are necessary to make the variational problem well-posed. The holographic charges associated with…

High Energy Physics - Theory · Physics 2009-11-11 Ioannis Papadimitriou , Kostas Skenderis

We construct two types of phase spaces for asymptotically de Sitter Einstein-Hilbert gravity in each spacetime dimension $d \ge 3$. One type contains solutions asymptotic to the expanding spatially-flat ($k=0$) cosmological patch of de…

General Relativity and Quantum Cosmology · Physics 2013-09-17 William R. Kelly , Donald Marolf

We calculate canonical charges in four dimensional conformal gravity using the generalised boundary conditions presented in \cite{Grumiller:2013mxa}. We show that the charges are finite and conserved. The asymptotic symmetry algebras…

High Energy Physics - Theory · Physics 2016-01-05 I. Lovrekovic

In this work, the solution space in the Newman-Penrose formalism with a cosmological constant is derived. The residual gauge transformation preserving the solution space is also worked out. By turning off the cosmological constant, the…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Pujian Mao

Shear-free or asymptotically shear-free null geodesic congruences possess a large number of fascinating geometric properties and to be closely related, in the context of general relativity, to a variety of physically significant affects. It…

General Relativity and Quantum Cosmology · Physics 2016-11-23 T. M. Adamo , E. T. Newman , C. N. Kozameh

The asymptotic structure of three-dimensional hypergravity without cosmological constant is analyzed. In the case of gravity minimally coupled to a spin-$5/2$ field, a consistent set of boundary conditions is proposed, being wide enough so…

High Energy Physics - Theory · Physics 2015-11-05 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically…

High Energy Physics - Theory · Physics 2022-09-01 Noah Miller , Andrew Strominger , Adam Tropper , Tianli Wang

The asymptotically flat structure of $\mathcal{N}=(2,0)$ supergravity in three spacetime dimensions is explored. The asymptotic symmetries are spanned by an extension of the super-BMS$_3$ algebra, with two independent $\hat{u}(1)$ currents…

High Energy Physics - Theory · Physics 2017-10-11 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

In the standard asymptotic expansion of four dimensional static asymptotically flat spacetimes, the coefficient of the first subleading term of the lapse function can be identified with the mass of the spacetime. Using the Hamiltonian…

High Energy Physics - Theory · Physics 2015-03-05 Andres Anabalon , Dumitru Astefanesei , Cristian Martinez

In order to get a better understanding of holographic properties of gravitational theories with a vanishing cosmological constant, we analyze in detail the relation between asymptotically anti-de Sitter and asymptotically flat spacetimes in…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Glenn Barnich , Andrés Gomberoff , Hernán A. González

We present the asymptotic solutions for spacetimes with non-zero cosmological constant $\Lambda$ coupled to Maxwell fields, using the Newman-Penrose formalism. This extends a recent work that dealt with the vacuum Einstein (Newman-Penrose)…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Vee-Liem Saw

A spacetime satisfies the non-timelike boundary version of the Penrose property if the timelike future of any point on $\mathcal{I}^-$ contains the whole of $\mathcal{I}^+$. This property was first discussed for asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Peter Cameron

Recently introduced classical theory of gravity in non-commutative geometry is studied. The most general (four parametric) family of $D$ dibensional static spherically symmetric spacetimes is identified and its properties are studied in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Klimcik , P. Kolnik , A. Pompos

We give a 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 present the results of gr-qc/0110014 which show that our…

High Energy Physics - Theory · Physics 2010-04-06 Piotr T. Chrusciel , Gabriel Nagy