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The Weyl geometric gravity theory, in which the gravitational action is constructed from the square of the Weyl curvature scalar and the strength of the Weyl vector, has been intensively investigated recently. The theory admits a…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Mohsen Khodadi , Tiberiu Harko

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

Weyl's conformal theory of gravity is an extension of Einstein's theory of general relativity which associates metrics with 1-forms . In the case of locally integrable (closed non-exact) 1-forms the spacetime manifolds are no more simply…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Michel Duneau

Lorentz violation is motivated by quantum gravity and it is generically described by nondynamical tensors. In this work a Lorentz violating extension of general relativity is studied where a nondynamical tensor couples to the Weyl tensor. A…

General Relativity and Quantum Cosmology · Physics 2020-03-30 Yuri Bonder , Christian Peterson

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 study the evolution of time-like congruences in the vacuum solutions of Weyl conformal theory of gravity. Using the Raycaudhuri equation, we show that for positive values of the coeffcient of the linear term in the solution and in the…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Morteza Mohseni , Mohsen Fathi

We present an axially symmetric spacetime which contains closed timelike curves, and hence violates the causality condition. The metric belongs to type III in the Petrov classification scheme with vanishing expansion, shear and twist. The…

General Relativity and Quantum Cosmology · Physics 2020-04-30 Bidyut Bikash Hazarika

In this paper, the G\"{o}del-type universes are examined within the framework of unimodular gravity. Since the existence of G\"{o}del solutions is intrinsically related to the presence of a cosmological constant in general relativity, one…

General Relativity and Quantum Cosmology · Physics 2025-06-16 R. Raimarda , A. F. Santos , R. Bufalo

We apply the reduced radial gauge to give the general solution of the metric in 2+1 dimensions in term of quadratures. It allows a complete controll on the support of the source. We use the result to prove that for a general stationary…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. Menotti , D. Seminara

Static spherically symmetric black holes are discussed in the framework of higher dimensional gravity with quadratic in curvature terms. Such terms naturally arise as a result of quantum corrections induced by quantum fields propagating in…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Valeri P. Frolov , Ilya L. Shapiro

The C-metric solution of conformal gravity with a conformally coupled scalar field is presented. The solution belongs to the class of Petrov type D spacetimes and is conformal to the standard AdS C-metric appeared in vacuum Einstein…

General Relativity and Quantum Cosmology · Physics 2018-07-30 Kun Meng , Liu Zhao

The effective actions describing the low-energy dynamics of QFTs involving gravity generically exhibit causality violations. These may take the form of superluminal propagation or Shapiro time advances and allow the construction of "time…

High Energy Physics - Theory · Physics 2016-04-20 Timothy J. Hollowood , Graham M. Shore

We analyze the asymptotic solutions of Chiral Gravity (Topologically Massive Gravity at \mu l = 1 with Brown-Henneaux boundary conditions) focusing on non-Einstein metrics. A class of such solutions admits curvature singularities in the…

High Energy Physics - Theory · Physics 2014-11-21 Geoffrey Compère , Sophie de Buyl , Stéphane Detournay

A unitary gravitational action up to third order of curvature in which respects to the holographic $a-$theorem has been constructed in \cite{myers}. In particular, its third order term is just the Weyl-cubed term in four dimensions. In this…

High Energy Physics - Theory · Physics 2016-01-13 Mohammad A. Ganjali

We present a new formulation for the canonical approach to conformal (Weyl-squared) gravity and its extension by the Einstein-Hilbert term and a nonminimally coupled scalar field. For this purpose we use a unimodular decomposition of the…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Claus Kiefer , Branislav Nikolic

We argue that conformal invariance in flat spacetime implies Weyl invariance in a general curved background metric for all unitary theories in spacetime dimensions $d \leq 10$. We also study possible curvature corrections to the Weyl…

High Energy Physics - Theory · Physics 2017-11-22 Kara Farnsworth , Markus A. Luty , Valentina Prilepina

In this paper, we analyse the well-posedness of the initial value formulation for particular kinds of geometric scalar-tensor theories of gravity, which are based on a Weyl integrable space-time. We will show that, within a frame-invariant…

General Relativity and Quantum Cosmology · Physics 2018-07-09 R. Avalos , I. P. Lobo , T. Sanomiya , C. Romero

Considering a model with Coupled Dilaton-Squared Curvature terms and a dilatonic potential which replace the cosmological constant, we present an analytic hyperscaling violating solution which is the generalization of arXiv:1305.3279 for…

High Energy Physics - Theory · Physics 2014-08-28 Mahdis Ghodrati

In this paper, conditions for existence of G\"{o}del and G\"{o}del-type solutions in Brans-Dicke (BD) scalar-tensor theory and their main features are studied. The consistency of equations of motion, causality violation and existence of…

High Energy Physics - Theory · Physics 2016-10-12 J. A. Agudelo , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio , A. F. Santos

It is currently unknown whether the laws of physics permit time travel into the past. While general relativity indicates the theoretical possibility of causality violation, it is now widely accepted that a theory of quantum gravity must…

Quantum Physics · Physics 2014-01-03 Jacques Pienaar