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We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by…

High Energy Physics - Theory · Physics 2010-11-19 S. Mignemi , D. L. Wiltshire

We review the problem of describing the gravitational field of compact stars in general relativity. We focus on the deviations from spherical symmetry which are expected to be due to rotation and to the natural deformations of mass…

General Relativity and Quantum Cosmology · Physics 2016-07-01 Hernando Quevedo

After recasting the standard charged and uncharged brane profiles in the harmonic gauge, we explore solutions with the same isometries where the potentials $V = T \,e^{\gamma\,\phi}$ of ten-dimensional non-supersymmetric strings are taken…

High Energy Physics - Theory · Physics 2024-06-24 J. Mourad , S. Raucci , A. Sagnotti

Deformed Reissner-Nordstr\"om, as well as Reissner-Nordstr\"om de Sitter, solutions are obtained in a noncommutative gauge theory of gravitation. The gauge potentials (tetrad fields) and the components of deformed metric are calculated to…

High Energy Physics - Theory · Physics 2008-11-26 M. Chaichian , M. R. Setare , A. Tureanu , G. Zet

The general relativistic mass-energy variation formula for axisymmetric equilibrium states of a selfgravitating system is developed in the particular case for which the relevant matter consists of a perfectly conducting multiconstituent…

Astrophysics · Physics 2007-05-23 Brandon Carter

We consider strings with the Nambu action as extremal surfaces in a given space-time, thus, we ignore their back reaction. Especially, we look for strings sharing one symmetry with the underlying space-time. If this is a non-null symmetry,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. -J. Schmidt , U. Semmelmann

The closed-form expression for pure $\mathcal{R}^{2}$ vacuum solution obtained in Phys. Rev. D \textbf{107}, 104008 (2023) lends itself to a generalization to axisymmetric setup via the modified Newman--Janis algorithm. We adopt the…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Mustapha Azreg-Aïnou , Hoang Ky Nguyen

In the context of the black hole/string transition, it is useful to produce Euclidean string backgrounds representing hot and self-gravitating strings. We utilise analytical and numerical methods to find a smooth, stationary rotating…

High Energy Physics - Theory · Physics 2024-04-01 Jorge E. Santos , Yoav Zigdon

The uniqueness and rigidity theorems assert that the asymptotically flat, vacuum, stationary rotating black hole solution in general relativity must be the Kerr solution, exhibiting novel symmetries such as axisymmetry and circularity. In…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Rajes Ghosh , Akash K Mishra , Sudipta Sarkar

The classical double copy procedure relates classical asymptotically-flat gravitational field solutions to Yang-Mills and scalar field solutions living in Minkowski space. In this paper we extend this correspondence to maximally symmetric…

High Energy Physics - Theory · Physics 2018-04-17 Mariana Carrillo-Gonzalez , Riccardo Penco , Mark Trodden

We investigate, in the framework of (2+1) dimensional gravity, stationary, rotationally symmetric gravitational sources of the perfect fluid type, embedded in a space of arbitrary cosmological constant. We show that the matching conditions…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Lubo , M. Rooman , Ph. Spindel

We discuss classical closed string solutions in non-relativistic two-sphere target spaces. These classes of solutions closely relate to the GKP-type, spinning and pulsating strings for the relativistic case. We derive the string dynamics in…

High Energy Physics - Theory · Physics 2025-05-06 Aritra Banerjee , Adrita Chakraborty , Nibedita Padhi

In this paper we study the consistency of generalized global symmetries in theories of quantum gravity, in particular string theory. Such global symmetries arise in theories with $(p+1)$-form gauge fields, and for spacetime dimension $d\leq…

High Energy Physics - Theory · Physics 2017-09-13 Miguel Montero , Angel M. Uranga , Irene Valenzuela

We construct classical solutions of open string field theory which are not invariant under ordinary twist operation. From detailed analysis of the moduli space of the solutions, it turns out that our solutions become nontrivial at…

High Energy Physics - Theory · Physics 2009-11-11 Syoji Zeze

We investigate string or branelike solutions for four-dimensional vacuum Einstein equations in the presence of cosmological constant. For the case of negative cosmological constant, the Banados-Teitelboim-Zanelli black string is the only…

High Energy Physics - Theory · Physics 2013-05-29 Youngone Lee , Gungwon Kang , Hyeong-Chan Kim , Jungjai Lee

We describe a non-minimal higher-derivative extension of Einstein-Maxwell theory in which electrically-charged black holes and point charges have globally regular gravitational and electromagnetic fields. We provide an exact static…

High Energy Physics - Theory · Physics 2020-07-13 Pablo A. Cano , Ángel Murcia

We present an exact solution to the equations of massive gravity that displays cosmological constant-like behavior for any spherically symmetric distribution of matter, including arbitrary time dependence. On this solution, the new degrees…

High Energy Physics - Theory · Physics 2012-11-22 Pierre Gratia , Wayne Hu , Mark Wyman

Very recently Harada has proposed a gravitational theory which is of third order in the derivatives of the metric tensor with the property that any solution of Einstein's field equations (EFEs) possibly with a cosmological constant is…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Alan Barnes

The cylindrically-symmetric static vacuum equations of Conformal Gravity are solved for the case of additional boost symmetry along the axis. We present the complete family of solutions which describe the exterior gravitational field of…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Y. Verbin , Y. Brihaye

Ernst's solution generating technique for adding electromagnetic charge to axisymmetric space-times in general relativity is generalised in presence of the cosmological constant. Ernst equations for complex potentials are found and they are…

General Relativity and Quantum Cosmology · Physics 2012-08-02 Marco Astorino