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Related papers: Closed Timelike Curves in Flat Lorentz Spacetimes

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The spacetime metric around a rotating SuperConductive Ring (SCR) is deduced from the gravitomagnetic London moment in rotating superconductors. It is shown that theoretically it is possible to generate Closed Timelike Curves (CTC) with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Clovis Jacinto de Matos

CMC (constant mean curvature) Cauchy surfaces play an important role in mathematical relativity as finding solutions to the vacuum Einstein constraint equations is made much simpler by assuming CMC initial data. However, in [2] Bartnik…

General Relativity and Quantum Cosmology · Physics 2024-08-01 Eric Ling , Argam Ohanyan

Motivated by the search for a Hamiltonian formulation of Einstein equations of gravity which depends in a minimal way on choices of coordinates, nor on a choice of gauge, we develop a multisymplectic formulation on the total space of the…

Mathematical Physics · Physics 2017-01-30 Frédéric Hélein , Dimitri Vey

We show that introducing a periodic time coordinate in the models of Penner-Kontsevich type generalizes the corresponding constructions to the case of the moduli space ${\cal S}_{gn}^k$ of curves $C$ with homology chains $\gamma\in…

High Energy Physics - Theory · Physics 2008-11-26 A. S. Cattaneo , A. Gamba , M. Martellini

We present a modification to a 'rotating' version of the dynamical Alcubierre spacetime, which was previously shown to permit closed timelike curves. We find that if the effective rotation rate is made dependent on the spacetime coordinates…

General Relativity and Quantum Cosmology · Physics 2025-03-26 Achintya Sajeendran , Timothy C. Ralph

Recently Burrage, de Rham, Heisenberg and Tolley have constructed eternal, classical solutions with closed timelike curves (CTCs) in a Galileon model coupled to an auxiliary scalar field. These theories contain at least two distinct metrics…

High Energy Physics - Theory · Physics 2012-11-20 Jarah Evslin

While it is tempting to think of closed timelike curves (CTCs) around rotating bodies such as a black hole as being "caused" by the rotation of the source, Andr\'eka et al. pointed out that the underlying physics is not as straightforward…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Yuanyuan Duan , Fangxun Liu , Yu Wang , Yen Chin Ong

In a large class of nonlocal as well as local higher derivative theories minimally coupled to the matter sector, we investigate the exactness of two different classes of homogeneous G\"{o}del-type solutions, which may or may not allow…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Zhe Zhao , Leonardo Modesto

Carrollian conformal field theories (carrollian CFTs) are natural field theories on null infinity of an asymptotically flat spacetime or, in general, geometries with conformal carrollian structure. Using a basis transformation,…

High Energy Physics - Theory · Physics 2023-11-13 Jakob Salzer

We analyze how the presence of closed timelike curves (CTCs) characterizing a time machine can be discerned by placing a local particle detector in a region of spacetime which is causally disconnected from the CTCs. Our study shows that not…

Quantum Physics · Physics 2024-07-19 Ana Alonso-Serrano , Erickson Tjoa , Luis J. Garay , Eduardo Martín-Martínez

We consider a free complex massive scalar on the quotient spacetime AdS$_3/\mathbb{Z}$, which has the isometry group SO(2,2) rather than its universal cover. This problem is of interest as a special example of QFT on a spacetime with closed…

High Energy Physics - Theory · Physics 2025-10-20 Walker Melton , Andrew Strominger , Tianli Wang

We investigate a systematic approach to include curvature corrections to the isometry algebra of flat space-time order-by-order in the curvature scale. The Poincar\'e algebra is extended to a free Lie algebra, with generalised boosts and…

High Energy Physics - Theory · Physics 2020-10-28 Joaquim Gomis , Axel Kleinschmidt , Diederik Roest , Patricio Salgado-Rebolledo

The concept of fixed-area states has proven useful for recent studies of quantum gravity, especially in connection with gravitational holography. We explore the Lorentz-signature spacetime geometry intrinsic to such fixed-area states in…

High Energy Physics - Theory · Physics 2022-09-07 Xi Dong , Donald Marolf , Pratik Rath , Amirhossein Tajdini , Zhencheng Wang

We present a new description of discrete space-time in 1+1 dimensions in terms of a set of elementary geometrical units that represent its independent classical degrees of freedom. This is achieved by means of a binary encoding that is…

General Relativity and Quantum Cosmology · Physics 2018-01-30 Silke Weinfurtner , Gemma De las Cuevas , Miguel Angel Martin-Delgado , Hans J. Briegel

A modified gravitational model whose action is given by an arbitrary function of the Ricci scalar, the matter Lagrangian density, a scalar field, and its kinetic term is investigated as an extension of the gravitational sector including an…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Faizuddin Ahmed , A. F. Santos

A model of a two-sheeted universe in the quantum theory of gravity is proposed, based on the definition of 3D invariant and gauge-invariant proper time of the universe. A uniform time in a closed universe is introduced in the class of…

General Relativity and Quantum Cosmology · Physics 2025-11-17 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

According to the flat/CCFT correspondence, Carrollian conformal field theories (CCFT) in d dimensions are dual to asymptotically flat spacetimes in d+1 dimensions. In this paper, starting from the holographic interpretation of…

High Energy Physics - Theory · Physics 2026-02-23 Reza Fareghbal , Abolfazl Hassani Majoulan

General relativity predicts the existence of closed timelike curves (CTCs), along which an object could travel to its own past. A consequence of CTCs is the failure of determinism, even for classical systems: one initial condition can…

Quantum Physics · Physics 2021-05-20 Lachlan G. Bishop , Fabio Costa , Timothy C. Ralph

If Einstein's equations are to describe a field theory of gravity in Minkowski spacetime, then causality requires that the effective curved metric must respect the flat background metric's null cone. The kinematical problem is solved using…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Brian Pitts , W. C. Schieve

We present a topological classification of vacuum space-time. Assuming the 3-dimensional space allows a global chart, we show that the static vacuum space-time of Einstein's theory can be classified by the knot topology…

High Energy Physics - Theory · Physics 2007-05-23 Y. M. Cho