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We present an axially symmetric, asymptotically flat empty space solution of the Einstein field equations containing a naked singularity. The spacetime is regular everywhere except on the symmetry axis where it possess a true curvature…

广义相对论与量子宇宙学 · 物理学 2017-04-26 Debojit Sarma , Faizuddin Ahmed , Mahadev Patgiri

We study the space-time geometry generated by coupling a free scalar field with a non-canonical kinetic term to General Relativity in $(2+1)$ dimensions. After identifying a family of scalar Lagrangians that yield exact analytical solutions…

广义相对论与量子宇宙学 · 物理学 2024-06-25 Roberto V. Maluf , Gerardo Mora-Pérez , Gonzalo J. Olmo , Diego Rubiera-Garcia

We provide a new class of exact solutions for the interior in (2 + 1) dimensional spacetime. The solutions obtained for the perfect fluid model both with and without cosmological constant ($\Lambda$) are found to be regular and singularity…

广义相对论与量子宇宙学 · 物理学 2014-05-02 Farook Rahaman , Piyali Bhar , Ritabrata Biswas , A. A. Usmani

We study the nature of a family of curvature singularities which are precisely the timelike cousins of the spacelike singularities studied by Belinski, Khalatnikov, and Lifshitz (BKL). We show that the approach to the singularity can be…

高能物理 - 理论 · 物理学 2016-05-25 Edgar Shaghoulian , Huajia Wang

A family of type N exact solution of the Einstein's field equations, regular everywhere except on the symmetry axis where it possesses a naked curvature singularity, is present. The stress-energy tensor is of the anisotropic fluid coupled…

广义相对论与量子宇宙学 · 物理学 2020-04-14 Faizuddin Ahmed

A self-dual generalization of the lump-impurity system is introduced. This model possesses lump-antilump-like pairs as static solutions of the pertinent Bogomolny equations. This allows for a moduli space approximation analysis of the BPS…

高能物理 - 理论 · 物理学 2021-12-07 J. Queiruga

Spherically symmetric space-times provide many examples for interesting black hole solutions, which classically are all singular. Following a general program, space-like singularities in spherically symmetric quantum geometry, as well as…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Martin Bojowald

We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d $\mathcal{N}=2$ theories where such structures a priori are not manifest. These modular structures…

高能物理 - 理论 · 物理学 2020-05-28 Miranda C. N. Cheng , Sungbong Chun , Francesca Ferrari , Sergei Gukov , Sarah M. Harrison

We review the construction of time-dependent backgrounds with space-like singularities. We mainly consider exact CFT backgrounds. The algebraic and geometric aspects of these backgrounds are discussed. Physical issues, results and…

高能物理 - 理论 · 物理学 2009-11-10 Amit Giveon , Eliezer Rabinovici , Amit Sever

The BKL conjecture, stated in the 60s and early 70s by Belinski, Khalatnikov and Lifshitz, proposes a detailed description of the generic asymptotic dynamics of spacetimes as they approach a spacelike singularity. It predicts complicated…

广义相对论与量子宇宙学 · 物理学 2015-12-11 Paul Klinger

We review aspects of certain time-dependent deformations of $AdS/CFT$ containing cosmological singularities and their gauge theory duals. Towards understanding these solutions better, we explore similar singular deformations of de Sitter…

高能物理 - 理论 · 物理学 2012-04-17 K. Narayan

We present a cyclic symmetric space-time, admitting closed time-like curves (CTCs) which appear after a certain instant of time, i. e., a time-machine space-time. These closed time-like curves evolve from an initial spacelike hypersurface…

广义相对论与量子宇宙学 · 物理学 2021-05-19 Faizuddin Ahmed

We obtain numerical solutions for rotating topological solitons of the nonlinear $\sigma$-model in three-dimensional Anti-de Sitter space. Two types of solutions, $i)$ and $ii)$, are found. The $\sigma$-model fields are everywhere well…

高能物理 - 理论 · 物理学 2017-01-04 B. Harms , A. Stern

We show that the metric for the singularity free family of fluid models [3] can be obtained by a simple and natural inhomogenisation and anisotropisation procedure from Friedman--Robertson--Walker metric with negative curvature. The metric…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Naresh Dadhich , L. K. Patel , R. Tikekar

We use integrable systems techniques to study the singularities of timelike non-minimal constant mean curvature (CMC) surfaces in the Lorentz-Minkowski 3-space. The singularities arise at the boundary of the Birkhoff big cell of the loop…

微分几何 · 数学 2014-09-18 David Brander , Martin Svensson

We present analytic methods for extracting a class of bulk geometries given information of certain physical quantities in the boundary CFT. More specifically we look at singular correlators and entanglement entropy in the CFT to provide…

高能物理 - 理论 · 物理学 2011-02-07 Samuel Bilson

The closed-universe recollapse conjecture is studied for a class of closed spherically symmetric spacetimes which includes those having as a matter source: (1) a massless scalar field; (2) a perfect fluid obeying the equation of state $\rho…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Gregory A. Burnett

Quantum complexity has already shed light on CFT states dual to bulk geometries containing spacelike singularities \cite{Barbon:2015ria, Bolognesi:2018ion, Caputa:2021pad}. In this work, we turn our attention to quantum complexity of…

高能物理 - 理论 · 物理学 2024-04-09 Gaurav Katoch , Jie Ren , Shubho R. Roy

These lecture notes provide a short review of the status of time dependent backgrounds in String theory, and in particular those that contain space-like singularities. Despite considerable efforts, we do not have yet a full and compelling…

高能物理 - 理论 · 物理学 2008-11-26 Micha Berkooz , Dori Reichmann

We simplify and extend the construction of half-BPS solutions to 11-dimensional supergravity, with isometry superalgebra D(2,1;\gamma) \oplus D(2,1;\gamma). Their space-time has the form AdS_3 x S^3 x S^3 warped over a Riemann surface…

高能物理 - 理论 · 物理学 2015-06-18 Constantin Bachas , Eric D'Hoker , John Estes , Darya Krym
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