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Based on the structure of a Lie algebroid for non-geometric fluxes in string theory, a differential-geometry calculus is developed which combines usual diffeomorphisms with so-called \beta-diffeomorphisms emanating from gauge symmetries of…

High Energy Physics - Theory · Physics 2013-04-16 Ralph Blumenhagen , Andreas Deser , Erik Plauschinn , Felix Rennecke

The leading $(\alpha')^3$-correction to the gravitational low-energy effective action of closed (type II) superstring theory in four-spacetime dimensions defines the Einstein-Grisaru-Zanon gravity action that is applied for a calculation of…

High Energy Physics - Theory · Physics 2024-06-24 Ruben Campos Delgado , Sergei V. Ketov

We consider an Einstein-Hilbert-Dilaton action for gravity coupled to various types of Abelian and non-Abelian gauge fields in a spatially finite system. These include Yang-Mills fields and Abelian gauge fields with three and four-form…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. Creighton , R. B. Mann

In this paper we continue to study a class of four-dimensional gravity models with n Abelian vector fields and Sp(2n)/U(n) coset of scalar fields. This class contains General Relativity (n=0) and Einstein-Maxwell dilaton-axion theory (n=1),…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Oleg V. Kechkin

Exact static, spherically symmetric solutions to the Einstein-Abelian gauge-dilaton equations, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered, with the gauge field potential having three nonzero…

General Relativity and Quantum Cosmology · Physics 2008-02-03 K. A. Bronnikov

The "Newtonian" or non-relativistic decomposition of Einstein's gravitational field is useful in the post-Newtonian approximation. We obtain the full non-quadratic Einstein-Hilbert action in terms of these fields as well as the harmonic…

High Energy Physics - Theory · Physics 2012-11-08 Barak Kol , Michael Smolkin

We present a class of static, spherically symmetric, non-singular solutions of the tree-level string effective action, truncated to first order in $\alpha'$. In the string frame the solutions approach asymptotically (at $r\to 0$ and $r\to…

High Energy Physics - Theory · Physics 2009-10-30 A. Buonanno , M. Gasperini , C. Ungarelli

Conformal invariance for bosonic strings in time-dependent backgrounds of graviton, dilaton and Kalb-Ramond field is obtained by imposing Weyl-beta functions to be homogeneous in time, to all orders in $\alpha^{'}$. This construction is…

High Energy Physics - Theory · Physics 2008-11-26 Jean Alexandre , Nick E. Mavromatos , Dylan Tanner

We give the general analytic solutions derived from the low energy string effective action for four dimensional Friedmann-Robertson-Walker models with dilaton and antisymmetric tensor field, considering both long and short wavelength modes…

High Energy Physics - Theory · Physics 2009-10-28 E. J. Copeland , Amitabha Lahiri , David Wands

We construct an action for four-dimensional extended string Newton-Cartan gravity which is an extension of the string Newton-Cartan gravity that underlies nonrelativistic string theory. The action can be obtained as a nonrelativistic limit…

High Energy Physics - Theory · Physics 2019-02-20 Eric Bergshoeff , Kevin Grosvenor , Ceyda Simsek , Ziqi Yan

The possibility of obtaining singularity free cosmological solutions in four dimensional effective actions motivated by string theory is investigated. In these effective actions, in addition to the Einstein-Hilbert term, the dilatonic and…

High Energy Physics - Theory · Physics 2009-11-07 J. C. Fabris , R. G. Furtado , Patrick Peter , N. Pinto-Neto

The non-abelian Einstein-Born-Infeld-Dilaton theory, which rules the dynamics of tensor-scalar gravitation coupled to a $su(2)$-valued gauge field ruled by Born-Infeld lagrangian, is studied in a cosmological framework. The microscopic…

General Relativity and Quantum Cosmology · Physics 2011-07-19 A. Fuzfa , J. -M. Alimi

We present a proof of the positivity of the Bondi energy in Einstein-Maxwell axion-dilaton gravity, being the low-energy limit of the heterotic string theory. We consider the spacelike hypersurface which asymptotically approaches a null…

High Energy Physics - Theory · Physics 2016-09-06 Marek Rogatko

The heterotic string compactified on a six-torus is described by a low-energy effective action consisting of N=4 supergravity coupled to N=4 super Yang-Mills, a theory that was studied in detail many years ago. By explicitly carrying out…

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz

We study cosmological solutions in the low-energy effective heterotic string theory, which is the Einstein gravity with Gauss-Bonnet term and the dilaton. We show that the field equations are cast into an autonomous system for flat internal…

High Energy Physics - Theory · Physics 2008-11-26 Kazuharu Bamba , Zong-Kuan Guo , Nobuyoshi Ohta

Recent developments in theories of non-Riemannian gravitational interactions are outlined. The question of the motion of a fluid in the presence of torsion and metric gradient fields is approached in terms of the divergence of the Einstein…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robin W Tucker , C Wang

Einstein-Gauss-Bonnet gravity coupled to a dynamical dilaton is examined from the viewpoint of Einstein's equivalence principle. We point out that the usual frame change that applies to the action without curvature correction does not cure…

High Energy Physics - Theory · Physics 2011-05-09 Masao Iihoshi

We continue our study of the mixed Einstein-Hilbert action as a functional of a pseudo-Riemannian metric and a linear connection. Its geometrical part is the total mixed scalar curvature on a smooth manifold endowed with a distribution or a…

Differential Geometry · Mathematics 2020-07-27 Vladimir Rovenski , Tomasz Zawadzki

The origin of the graviton from string theory is well understood: it corresponds to a massless state in closed string spectra, whose low-energy effective action, as extracted from string scattering amplitudes, is that of Einstein-Hilbert.…

High Energy Physics - Theory · Physics 2022-02-10 Dieter Lust , Chrysoula Markou , Pouria Mazloumi , Stephan Stieberger

Chamseddine and Connes have argued that the action for Einstein gravity, coupled to the SU(3)\times SU(2)\times U(1) standard model of particle physics, may be elegantly recast as the "spectral action" on a certain "non-commutative…

High Energy Physics - Theory · Physics 2015-07-13 Shane Farnsworth , Latham Boyle