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We show that the ghost degrees of freedom of Einstein gravity with a Weyl term can be eliminated by a simple mechanism that invokes local Lorentz symmetry breaking. We demonstrate how the mechanism works in a cosmological setting. The…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Nathalie Deruelle , Misao Sasaki , Yuuiti Sendouda , Ahmed Youssef

We study the creation and evolution of cosmological perturbations in renormalizable quadratic gravity with a Weyl term. We adopt a prescription that implies the stability of the vacuum at the price of introducing a massive spin-two ghost…

High Energy Physics - Theory · Physics 2016-12-13 Mikhail M. Ivanov , Anna A. Tokareva

We propose a theoretically consistent modification of gravity in the infrared, which is compatible with all current experimental observations. This is an analog of Higgs mechanism in general relativity, and can be thought of as arising from…

High Energy Physics - Theory · Physics 2009-11-10 Nima Arkani-Hamed , Hsin-Chia Cheng , Markus A. Luty , Shinji Mukohyama

It is shown that in a quadratic gravity based on Weyl's conformal geometry, not only the Einstein-Hilbert action emerges but also a Weyl gauge field becomes massive in the Weyl gauge condition, $\tilde R = k$, for a Weyl gauge symmetry…

High Energy Physics - Theory · Physics 2020-03-04 Ichiro Oda

It is shown that Einstein gravity in four dimensions with small cosmological constant and small extra dimensions can be obtained by spontaneous compactification of Lovelock gravity in vacuum. Assuming that the extra dimensions are compact…

High Energy Physics - Theory · Physics 2009-09-09 Fabrizio Canfora , Alex Giacomini , Ricardo Troncoso , Steven Willison

We study a symmetry, schematically Energy -> - Energy, which suppresses matter contributions to the cosmological constant. The requisite negative energy fluctuations are identified with a "ghost" copy of the Standard Model. Gravity…

High Energy Physics - Theory · Physics 2009-11-11 David E. Kaplan , Raman Sundrum

Recently, it has been pointed out that dimensionless actions in four dimensional curved spacetime possess a symmetry which goes beyond scale invariance but is smaller than full Weyl invariance. This symmetry was dubbed {\it restricted Weyl…

High Energy Physics - Theory · Physics 2015-08-26 Ariel Edery , Yu Nakayama

The cosmological constant is normally introduced as an additional term entering the Einstein-Hilbert (EH) action. In this letter we demonstrate that instead, it appears naturally from the standard EH action as an invariant term emerging…

General Physics · Physics 2024-12-19 Ivan Arraut

Motivated by the ghost condensate model, we study the Randall-Sundrum (RS) brane-world with an arbitrary function of the higher derivative kinetic terms, $\mathcal{P}(X)$, where $X=-(\nabla \phi)^{2}$. The five-dimensional Einstein…

High Energy Physics - Theory · Physics 2007-05-23 Robert B. Mann , John J. Oh

The bimetric variational principle is a subtle reinterpretation of general relativity that assumes the spacetime connection to be generated by an independent metric. Unlike the so called Palatini formalism that promotes the connection into…

General Relativity and Quantum Cosmology · Physics 2012-10-23 Jose Beltran Jimenez , Alexey Golovnev , Mindaugas Karčiauskas , Tomi S. Koivisto

Suppose General Relativity, provocatively governed by a dimensional coupling constant, is a spontaneously induced theory of Gravity. Invoking Zee's mechanism, we represent the reciprocal Newton constant by a Brans Dicke scalar field, and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Aharon Davidson , Ilya Gurwich

We discuss ghost free models of the recently suggested mimetic dark matter theory. This theory is shown to be a conformal extension of Einstein general relativity. Dark matter originates from gauging out its local Weyl invariance as an…

High Energy Physics - Theory · Physics 2015-06-17 A. O. Barvinsky

Topological matter with Weyl points, such as superfluid 3He-A, provide an explicit example where there is a direct connection between the properly determined vacuum energy and the cosmological constant of the effective gravity emerging in…

General Relativity and Quantum Cosmology · Physics 2013-02-18 G. Jannes , G. E. Volovik

We present a new mechanism for addressing the cosmological constant problem based on global constraints arising from a lapse function in a higher-dimensional gravitational theory. Inspired by Horava-Lifshitz gravity, we consider a 5d…

High Energy Physics - Theory · Physics 2026-04-13 Justin Khoury , Benjamin Muntz , Antonio Padilla

An effective action of ghost condensate with higher derivatives creates a source of gravity and mimics a dark matter in spiral galaxies. We present a spherically symmetric static solution of Einstein--Hilbert equations with the ghost…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. V. Kiselev

We discuss the cosmological evolution of the Weyl conformal geometry and its associated Weyl quadratic gravity. The Einstein gravity (with a positive cosmological constant) is recovered in the spontaneously broken phase of Weyl gravity;…

General Relativity and Quantum Cosmology · Physics 2022-06-24 D. M. Ghilencea , T. Harko

The origins of the cosmological constant are discussed from the perspective of the imaginary-time field theory. The concept of the thermal time, which is related to the Tolman-Ehrehfest relation, and the conformal invariance of the actions…

General Relativity and Quantum Cosmology · Physics 2013-11-28 Yi-Cheng Huang

Recently the global variation of the Planck mass in the General Relativistic Einstein-Hilbert action was proposed as a self-tuning mechanism of the cosmological constant preventing vacuum energy from freely gravitating. We show that this…

General Relativity and Quantum Cosmology · Physics 2020-08-12 Daniel Sobral-Blanco , Lucas Lombriser

We derive and present symmetric ghost Lagrange densities for the coupling of General Relativity to Yang--Mills theories. The graviton-ghost is constructed with respect to the linearized de Donder gauge fixing condition and the gauge ghost…

High Energy Physics - Theory · Physics 2025-11-18 David Prinz

The Wess-Zumino consistency condition for four-dimensional Einstein gravity is investigated in the space of local forms involving the fields, the ghosts, the antifields and their derivatives. Its general solution is constructed for all…

High Energy Physics - Theory · Physics 2010-01-06 G. Barnich , F. Brandt , M. Henneaux
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