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Related papers: Metric Versus Ashtekar Variables in Two Killing Fi…

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In this paper we show how to describe the general theory of a linear metric compatible connection with the theory of Clifford valued differential forms. This is done by realizing that for each spacetime point the Lie algebra of Clifford…

Mathematical Physics · Physics 2011-07-19 Waldyr A. Rodrigues , Edmundo Capelas de Oliveira

We show that the half-maximal SU(2) gauged supergravity with topological mass term admits coupling of an arbitrary number of n vector multiplets. The chiral circle reduction of the ungauged theory in the dual 2-form formulation gives…

High Energy Physics - Theory · Physics 2009-11-11 E. Bergshoeff , D. C. Jong , E. Sezgin

We describe the most general treatment of all anomalies both for chiral and massless Dirac fermions, in two-dimensional gravity. It is shown that for this purpose two regularization dependent parameters are present in the effective action.…

High Energy Physics - Theory · Physics 2009-10-22 A. Smailagic , E. Spallucci

Two-field mimetic gravity was recently realized by looking at the singular limit of the conformal transformation between the auxiliary metric and the physical metric with two scalar fields involved. In this paper, we reanalyze the singular…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Yunlong Zheng , Haomin Rao

The S--duality transformations of the lowest order string effective theory admit a space time interpretation for 4-dim backgrounds with one Killing symmetry. Starting from pure gravity and performing a sequence of intertwined T-S-T duality…

High Energy Physics - Theory · Physics 2009-10-28 Ioannis Bakas

We discuss some problems related to dimensional reductions of gravity theories to two-dimensional and one-dimensional dilaton gravity models. We first consider the most general cylindrical reductions of the four-dimensional gravity and…

High Energy Physics - Theory · Physics 2007-05-23 A. T. Filippov

We consider a space-time with spatial sections isomorphic to the group manifold of SU(2). Triad and connection fluctuations are assumed to be SU(2)-invariant. Thus, they form a finite dimensional phase space. We perform non-perturbative…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Sergei Alexandrov , Ignati Grigentch , Dmitri Vassilevich

Ghost-free bimetric theory can describe gravity in the presence of an extra spin-2 field. We study certain aspects of dynamics in this theory: (1) It is shown that if either of the metrics is an Einstein solution then the other is always…

High Energy Physics - Theory · Physics 2014-11-18 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss

We consider a preferred-frame bimetric theory in which the scalar gravitational field both influences the metric and has direct dynamical effects. A modified version ("v2") is built, by assuming now a locally-isotropic dilation of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Mayeul Arminjon

Chern-Simons modified gravity is a string-theory and loop-quantum-gravity inspired effective theory that modifies General Relativity by adding a parity-violating Pontryagin density to the Einstein-Hilbert action multiplied by a coupling…

General Relativity and Quantum Cosmology · Physics 2010-04-15 Nicolas Yunes , David N. Spergel

Gravity in d dimensions is formulated as the gauge theory of local SO(2,d-1) gauge group. The Chern-Pontryagin index ${\cal P}_{2n}$ plays a crucial role in both gravity and gauge theories. ${\cal P}_{2n}(gravity)$ gives the gravitational…

High Energy Physics - Theory · Physics 2009-04-28 Takeshi Fukuyama

Pursuing further the recent methods in the algebraic Hamiltonian approach to gauged WZW models, we apply them to the bosonic SL(2,R) X SU(2)/R^2 model recently investigated by Nappi and Witten. We find the global space and compute the…

High Energy Physics - Theory · Physics 2009-10-22 I. Bars , K. Sfetsos

We study the implications of a scalar-tensorial gravity for the metric of an isolated self-gravitating superconducting cosmic string. These modifications are induced by an arbitrary coupling of a massless scalar field to the usual tensorial…

General Relativity and Quantum Cosmology · Physics 2016-11-03 C. N. Ferreira , M. E. X. Guimaraes , J. A. Helayel-Neto

This paper is a sequel to one in which we examined the affine symmetry algebras of arbitrary classical principal chiral models and symmetric space models in two dimensions. It examines the extension of those results in the presence of…

High Energy Physics - Theory · Physics 2009-10-28 John H. Schwarz

In the framework of the two-form gravity, which is classically equivalent to the Einstein gravity, the one-loop effective potential for the conformal factor of metric is calculated in the finite volume and in the finite temperature by…

High Energy Physics - Theory · Physics 2015-06-26 Miyuki KATSUKI , Shin'ichi NOJIRI , Akio SUGAMOTO

In this letter, a two-dimensional (2D) gravity-scalar model is studied. This model supports interesting double-kink solutions, and the corresponding metric solutions can be derived analytically. Depending on a tunable parameter $c$, the…

High Energy Physics - Theory · Physics 2022-05-02 Jun Feng , Yuan Zhong

We show that "Gravity at cosmological distances: Explaining the accelerating expansion without dark energy" recently proposed by J. Harada [6] is equivalent to the Einstein equation extended by the presence of an arbitrary conformal Killing…

General Relativity and Quantum Cosmology · Physics 2023-12-18 Carlo Alberto Mantica , Luca Guido Molinari

In this work we find solutions of the ($n+2$)-dimensional Einstein Field Equations (EFE) with $n$ commuting Killing vectors in vacuum. In the presence of $n$ Killing vectors, the EFE can be separated into blocks of equations. The main part…

General Relativity and Quantum Cosmology · Physics 2026-03-17 I. A. Sarmiento-Alvarado , Petra Wiederhold , Tonatiuh Matos

We show that the constraint algebra of Ashtekar's Hamiltonian formulation of general relativity can be non-trivially deformed by allowing the cosmological constant to become an arbitrary function of the (Weyl) curvature. Our result implies…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill Krasnov

To investigate the properties of $c=1$ matter coupled to $2$d{--}gravity we have performed large-scale simulations of two copies of the Ising Model on a dynamical lattice. We measure spin susceptibility and percolation critical exponents…

High Energy Physics - Theory · Physics 2009-10-22 Mark Bowick , Marco Falcioni , Geoffrey Harris , Enzo Marinari