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We explore the real solutions to the Spherical Collapse Model in a non-flat Universe with a Cosmological Constant, and observe a possible situation for a fake or Ghost Collapse, in which an expanding overdense spherical region, turns around…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-26 Aditya Vidhate , Rahul Nigam

We construct classes of two-dimensional aperiodic Lorentz systems that have infinite horizon and are 'chaotic', in the sense that they are (Poincar\'e) recurrent, uniformly hyperbolic, ergodic, and the first-return map to any scatterer is…

Dynamical Systems · Mathematics 2013-02-12 Marco Lenci , Serge Troubetzkoy

We find all the perfect fluid G2 diagonal cosmologies with the property that the quotient of the norms of the two orthogonal Killing vectors is constant along each fluid world-line. We find four different families depending each one on two…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Marc Mars

We encounter these demons on the path towards a UV complete QFT of gravity and a horizonless replacement for black holes. The fate of the ghost is discussed in the strong coupling version of classically-scale-invariant quadratic gravity.…

General Relativity and Quantum Cosmology · Physics 2019-05-23 Bob Holdom

We classify the unitary representations of the extended Poincar\'e supergroups in three dimensions. Irreducible unitary representations of any spin can appear, which correspond to supersymmetric anyons. Our results also show that all…

High Energy Physics - Theory · Physics 2015-06-04 M. Chaichian , A. Tureanu , R. B. Zhang

In the paper the class of all solvable extensions of a filiform Leibniz algebra in the infinite-dimensional case is classified. The filiform Leibniz algebra is taken as a maximal pro-nilpotent ideal of residually solvable Leibniz algebra.…

Rings and Algebras · Mathematics 2021-06-22 K. K. Abdurasulov , B. A. Omirov , I. S. Rakhimov , G. O. Solijanova

We hereby introduce and extensively study a class of non-polynomial higher derivative theories of gravity that realize a ultraviolet (UV) completion of Einstein general relativity. These theories are unitary (ghost free) and at most only…

High Energy Physics - Theory · Physics 2018-09-03 Leonardo Modesto , Leslaw Rachwal

We present some useful ways to visualize the nature of dark energy and the effects of the accelerating expansion on cosmological quantities. Expansion probes such as Type Ia supernovae distances and growth probes such as weak gravitational…

Astrophysics · Physics 2009-11-13 Eric V. Linder

We present two different families of stationary black strings in three dimensions carrying electric and axion charges. Both solutions contain a singular region, which however is quite harmless for string frame geodesic observers, because…

High Energy Physics - Theory · Physics 2007-05-23 Nemanja Kaloper

We show existence, uniqueness and stability for a family of stationary subsonic compressible Euler flows with mass-additions in two-dimensional rectilinear ducts, subjected to suitable time-independent multi-dimensional boundary conditions…

Analysis of PDEs · Mathematics 2022-02-09 Junlei Gao , Hairong Yuan

We consider general theories of a massive spin-2 particle $h_{\mu\nu}$ on a Minkowski background. A decomposition of $h_{\mu\nu}$ in terms of helicity eigenstates allows us to directly test whether any given theory possesses a consistent…

High Energy Physics - Theory · Physics 2011-08-03 Sarah Folkerts , Alexander Pritzel , Nico Wintergerst

The ghost-free theory of massive gravity with two dynamical metrics has been shown to produce viable cosmological expansion, where the late-time acceleration of the Universe is due to the finite range of the gravitational interaction rather…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-29 Adam R. Solomon , Yashar Akrami , Tomi S. Koivisto

We investigate the infinite-distance properties of families of unstable flux vacua in string theory with broken supersymmetry. To this end, we employ a generalized notion of distance in the moduli space and we build a holographic…

High Energy Physics - Theory · Physics 2022-01-25 Ivano Basile

Negative kinetic energies correspond to ghost degrees of freedom, which are potentially of relevance for cosmology, quantum gravity, and high energy physics. We present a novel wide class of stable mechanical systems where a positive energy…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Cédric Deffayet , Aaron Held , Shinji Mukohyama , Alexander Vikman

Subexponential logic is a variant of linear logic with a family of exponential connectives--called subexponentials--that are indexed and arranged in a pre-order. Each subexponential has or lacks associated structural properties of weakening…

Logic in Computer Science · Computer Science 2016-02-22 Kaustuv Chaudhuri

We consider higher-order derivative interactions beyond second-order generalized Proca theories that propagate only the three desired polarizations of a massive vector field besides the two tensor polarizations from gravity. These new…

High Energy Physics - Theory · Physics 2016-08-16 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

Galileons are higher-derivative theories of a real scalar which nevertheless admit second order equations of motion. They have interesting applications as dark energy models and in early universe cosmology, and have been conjectured to…

High Energy Physics - Theory · Physics 2013-08-09 Michael Koehn , Jean-Luc Lehners , Burt Ovrut

The "Auxiliary Extra Dimension" model was proposed in order to provide a geometrical interpretation to modifications of general relativity, in particular to non-linear massive gravity. In this context, the theory was shown to be ghost free…

High Energy Physics - Theory · Physics 2011-07-26 S. F. Hassan , Rachel A. Rosen

Possible nonlinear completion of massive gravity is presented. An additional scalar ghost contained in linear theory condensates to give rise to positive-energy excitations.

High Energy Physics - Theory · Physics 2009-11-11 Shinji Hamamoto

Efforts have been made recently to reformulate traditional Kaluza-Klein theory by using a generalized definition of a higher-dimensional extended space-time. Both electromagnetism and gravity have been studied in this context. We review…

High Energy Physics - Theory · Physics 2007-05-23 J. Madore , J. Mourad