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Related papers: Closed Timelike Curves in the Galileon Model

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We study the structure of closed timelike curves (CTCs) for the near horizon limit of the five dimensional BMPV black hole, in its overrotating regime. We argue that Bousso's holographic screens are inside the chronologically safe region,…

High Energy Physics - Theory · Physics 2009-11-10 Bartomeu Fiol , Christiaan Hofman , Ernesto Lozano-Tellechea

We extend the 2 dimensional Causal Dynamical Triangulation (CDT) model from the usual model of closed string to the one of open-closed string. The matrix-vector model describing the loop gas model is modified so as to possess the nature of…

High Energy Physics - Theory · Physics 2014-01-16 Hiroshi Kawabe

In this paper we give a unified approach in categorical setting to the problem of finding the Galois closure of a finite cover, which includes as special cases the familiar finite separable field extensions, finite unramified covers of a…

Number Theory · Mathematics 2017-07-04 Hau-Wen Huang , Wen-Ching Winnie Li

We study the paradoxical aspects of closed time-like curves and their impact on the theory of computation. After introducing the $\text{TM}_\text{CTC}$, a classical Turing machine benefiting CTCs for backward time travel, Aaronson et al.…

Computational Complexity · Computer Science 2023-01-30 Sara Babaee Khanehsar , Farzad Didehvar

We address the homogeneous in space and time (ST-homogeneous) G\"{o}del-type metrics within the cubic galileon theory, a particular class of generalized galileon theories. We check the consistency of such spacetimes for a physically…

General Relativity and Quantum Cosmology · Physics 2020-11-26 J. R. Nascimento , A. Yu. Petrov , P. Porfírio , A. F. Santos

We show that a wide class of geometrically defined overdetermined semilinear partial differential equations may be explicitly prolonged to obtain closed systems. As a consequence, in the case of linear equations we extract sharp bounds on…

Differential Geometry · Mathematics 2008-11-26 Thomas Branson , Andreas Cap , Michael Eastwood , Rod Gover

The Galileon model is a tensor-scalar theory of gravity which explains the late acceleration of the Universe expansion with no instabilities and recovers General Relativity in the strong field limit. Most constraints obtained so far on…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-16 Clément Leloup , Vanina Ruhlmann-Kleider , Jeremy Neveu , Arnaud de Mattia

The spacetime of Ho and Weiler [Phys. Rev. D {\bf 87}, 045004 (2013)] supposedly admitting closed timelike curves (CTCs) is flat Minkowski spacetime with a compactified coordinate and can only contain CTCs if the compact direction is chosen…

High Energy Physics - Phenomenology · Physics 2013-09-11 Steffen Gielen

The existence and stability under linear perturbations of closed timelike geodesics (CTGs) in Bonnor-Ward spacetime is studied in some detail. Regions where the CTG exist and are linearly stable are exhibited.

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. M. Rosa , P. S. Letelier

The D-CTC condition is a condition originally proposed by David Deutsch as a condition on states of a quantum communication network that contains "backward time-steps" in some of its branches. It has been argued that this is an analogue for…

Mathematical Physics · Physics 2017-09-13 Juergen Tolksdorf , Rainer Verch

We re-explore the Bi- and Multi-Galileon models with trivial asymptotic conditions at infinity and show that propagation of superluminal fluctuations is a common and unavoidable feature of these theories, unlike previously claimed in the…

High Energy Physics - Theory · Physics 2013-05-03 Paul de Fromont , Claudia de Rham , Lavinia Heisenberg , Andrew Matas

We consider a time-fractional parabolic equation of doubly nonlinear type, featuring nonlinear terms both inside and outside the differential operator in time. The main nonlinearities are maximal monotone graphs, without restrictions on the…

Analysis of PDEs · Mathematics 2025-08-20 Goro Akagi , Giacomo Enrico Sodini , Ulisse Stefanelli

The study of low regularity (in-)extendibility of Lorentzian manifolds is motivated by the question whether a given solution to the Einstein equations can be extended (or is maximal) as a weak solution. In this paper we show that a timelike…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Gregory J. Galloway , Eric Ling , Jan Sbierski

We consider the Cauchy problem for the Perona-Malik equation in an open subset of R^{n}, with Neumann boundary conditions. It is well known that in the one-dimensional case this problem does not admit any global C^{1} solution if the…

Analysis of PDEs · Mathematics 2009-07-07 Marina Ghisi , Massimo Gobbino

We study a class of generalized Chern-Simons equations on discrete lattice graphs. By an iterative scheme combined with an exhaustion argument, we establish the existence of topological solutions, which is also the maximal topological…

Analysis of PDEs · Mathematics 2026-01-09 Songbo Hou

It is known that there exist non-local correlations that respect no-signaling criterion, but violate Bell-type inequalities more than quantum-mechanical correlations. Such super quantum correlations were introduced as the Popescu-Rohrlich…

Quantum Physics · Physics 2014-12-15 Indranil Chakrabarty , Tanumoy Pramanik , Arun K Pati , Pankaj Agrawal

In this paper, we are concerned with complex Ginzburg-Landau (CGL) equations. There are several results on the global existence and smoothing effects of solutions to the initial boundary value problem for (CGL) in bounded or unbounded…

Analysis of PDEs · Mathematics 2022-09-13 Takanori Kuroda , Mitsuharu Ôtani

Some results related to the causality of compact Lorentzian manifolds are proven: (1) any compact Lorentzian manifold which admits a timelike conformal vector field is totally vicious, and (2) a compact Lorentzian manifold covered regularly…

Differential Geometry · Mathematics 2009-11-23 Miguel Sánchez

This paper discusses the quantum mechanics of closed timelike curves (CTC) and of other potential methods for time travel. We analyze a specific proposal for such quantum time travel, the quantum description of CTCs based on post-selected…

Quantum Physics · Physics 2011-07-15 Seth Lloyd , Lorenzo Maccone , Raul Garcia-Patron , Vittorio Giovannetti , Yutaka Shikano

In this paper we consider a class of static spacetimes in higher dimensional ($D \ge 4$) scalar-torsion theories with non-minimal derivative coupling and the scalar potential turned on. The spacetime is conformal to a product space of a…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Bobby E. Gunara , Mulyanto , Rahmat H. Alineng , Fiki T. Akbar , Hadi Susanto