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We present a covariant study of static space-times, as such and as solutions of gravity theories. By expressing the relevant tensors through the velocity and the acceleration vectors that characterise static space-times, the field equations…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Carlo Alberto Mantica , Luca Guido Molinari

The vacuum Einstein equations admit a formulation closely analogous to the source-free Maxwell theory. In particular, the linearized equations exhibit an electric-magnetic duality symmetry. We develop a framework that makes this analogy…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Adrian del Rio , Javier Olmedo , António Torres Manso

We derive a component-field expansion of the Green-Schwarz action for the type IIA string, in an arbitrary background of massless NS-NS and R-R bosonic fields, up to quadratic order in the fermionic coordinates \theta. Using this action, we…

High Energy Physics - Theory · Physics 2008-11-26 M. Cvetic , H. Lu , C. N. Pope , K. S. Stelle

We define, by an integral of geometric quantities over a spherical shell of arbitrary radius, an invariant gravitational entropy. This definition relies on defining a gravitational energy and pressure, and it reduces at the horizon of both…

High Energy Physics - Theory · Physics 2015-06-03 Ram Brustein , A. J. M. Medved

We exhibit exact conformal field theory descriptions of SO(N) and Sp(N) pairs of Seiberg-dual gauge theories within string theory. The N=1 gauge theories with flavour are realized as low energy limits of the worldvolume theories on D-branes…

High Energy Physics - Theory · Physics 2010-02-03 Sujay K. Ashok , Sameer Murthy , Jan Troost

Classical linearized gravity admits a dual formulation in terms of a higher-rank tensor field. Proposing a prescription for the instanton sectors of linearized gravity and its dual, we show that they may be quantum inequivalent in even…

High Energy Physics - Theory · Physics 2025-08-28 Leron Borsten , Michael J. Duff , Dimitri Kanakaris , Hyungrok Kim

Double Field Theory is a manifestly T-duality invariant formulation of string theory in which the effective theory at any order of $\alpha'$ is invariant under global $O(D,D)$ transformations and ought to be invariant under gauge…

High Energy Physics - Theory · Physics 2018-09-19 Mohammad R. Garousi

A system of gravity coupled to a 2-form gauge field, a dilaton and Yang-Mills fields in $2n$ dimensions arises from the (2,1) sigma model or string. The field equations imply that the curvature with torsion and Yang-Mills field strength are…

High Energy Physics - Theory · Physics 2009-10-30 M. Abou Zeid , C. M. Hull

Nonrelativistic (NR) string theory was discovered as a framework that underlies and unifies the various noncommutative open string (NCOS) theories, which were originally envisioned as surprising exceptions to the maxim that all string…

High Energy Physics - Theory · Physics 2023-12-12 Alberto Guijosa , Igmar C. Rosas-López

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

The classical Einstein--Standard Model system with conformally invariant coupling of the Higgs field to gravity is investigated. We show that the energy-momentum tensor is not polynomial in the Higgs field, and hence it may have two…

General Relativity and Quantum Cosmology · Physics 2018-02-20 László B Szabados

Double field theory (DFT) offers a manifest T-duality formulation for massless closed string field theory with both momentum and winding excitation. The gauge symmetry is defined by the generalized Lie derivative which is the extension of…

High Energy Physics - Theory · Physics 2015-06-19 Chen-Te Ma , Che-Min Shen

Through their respective sigma models, a bosonic string and a superstring can be coupled to (super)gravity fields. These are subsequently forced to satisfy their right classical equation of motions, as a consequence of quantization of the…

High Energy Physics - Theory · Physics 2023-04-26 Eugenia Boffo

Consistency of Einstein's gravitational field equation $G_{\mu\nu} \propto T_{\mu\nu}$ imposes a "conservation condition" on the $T$-tensor that is satisfied by (i) matter stress tensors, as a consequence of the matter equations of motion,…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Eric Bergshoeff , Wout Merbis , Alasdair J. Routh , Paul K. Townsend

A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented in both first and second order Lagrangian form as well as in a Hamiltonian form. For gauge group $SO(1,2)$, the theory is shown to describe ordinary Einstein…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Peter Peldan

Using independent left and right vierbeins to describe graviton plus axion as suggested by string mechanics, O(d,d) duality can be realized linearly.

High Energy Physics - Theory · Physics 2009-10-22 W. Siegel

We investigate an effective torsion curvature in a second order formalism underlying a two form world-volume dynamics in a $D_5$-brane. In particular, we consider the two form in presence of a background (open string) metric in a $U(1)$…

High Energy Physics - Theory · Physics 2015-06-22 Richa Kapoor , Supriya Kar , Deobrat Singh

We provide a unified treatment of electric-magnetic duality, at the action level and with manifest Lorentz invariance, for massive, massless as well as partially-massless gravitons propagating in maximally symmetric spacetimes of any…

High Energy Physics - Theory · Physics 2018-07-13 Nicolas Boulanger , Andrea Campoleoni , Ignacio Cortese

We present a flux formulation of Double Field Theory, in which geometric and non-geometric fluxes are dynamical and field-dependent. Gauge consistency imposes a set of quadratic constraints on the dynamical fluxes, which can be solved by…

High Energy Physics - Theory · Physics 2015-06-15 David Geissbuhler , Diego Marques , Carmen Nunez , Victor Penas

We examine the equations of motion of double field theory and the duality manifest form of M-theory. We show the solutions of the equations of motion corresponding to null pp-waves correspond to strings or membranes from the usual spacetime…

High Energy Physics - Theory · Physics 2015-06-19 Joel Berkeley , David S. Berman , Felix J. Rudolph