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Constructive gravity allows to calculate the Lagrangian for gravity, provided one previously prescribes the Lagrangian for all matter fields on a spacetime geometry of choice. We explain the physical and mathematical foundation of this…

General Relativity and Quantum Cosmology · Physics 2020-03-24 Frederic P. Schuller

A suggestion is made for quantizing gravity perturbatively, and is illustrated for the example of a massive scalar field with gravity.

High Energy Physics - Theory · Physics 2007-11-15 A. Y. Shiekh

Logarithmic conformal field theories with vanishing central charge describe systems with quenched disorder, percolation or dilute self-avoiding polymers. In these theories the energy momentum tensor acquires a logarithmic partner. In this…

High Energy Physics - Theory · Physics 2014-11-20 Daniel Grumiller , Niklas Johansson

For a compact Riemannian manifold with boundary, endowed with a magnetic potential $\alpha$, we consider the problem of restoring the metric $g$ and the magnetic potential $\alpha$ from the values of the Ma\~n\'e action potential between…

Differential Geometry · Mathematics 2007-05-23 N. S. Dairbekov , G. P. Paternain , P. Stefanov , G. Uhlmann

We reconsider some subtle points concerning the relativistic treatment of the gravitational fields generated by spherically symmetric structures.

General Physics · Physics 2007-07-16 Angelo Loinger , Tiziana Marsico

In this work we construct holographic boundary theories for linearized 3D gravity, for a general family of finite or quasi-local boundaries. These boundary theories are directly derived from the dynamics of 3D gravity by computing the…

General Relativity and Quantum Cosmology · Physics 2019-05-28 Seth K. Asante , Bianca Dittrich , Florian Hopfmueller

An alternative proof of Lie's approach for linearization of scalar second order ODEs is derived using the relationship between $\lambda$-symmetries and first integrals. This relation further leads to a new $\lambda$-symmetry linearization…

Classical Analysis and ODEs · Mathematics 2015-04-03 Ahmad Y. Al-Dweik , M. T. Mustafa , Raed A. Mara'beh , F. M. Mahomed

We study the linearized approximation of N=1 topologically massive supergravity around AdS3. Linearized gravitino fields are explicitly constructed. For appropriate boundary conditions, the conserved charges demonstrate chiral behavior, so…

High Energy Physics - Theory · Physics 2013-07-22 Melanie Becker , Paul Bruillard , Sean Downes

Higher Derivative (HD) Field Theories can be transformed into second order equivalent theories with a direct particle interpretation. In a simple model involving abelian gauge symmetries we examine the fate of the possible gauge fixings…

High Energy Physics - Theory · Physics 2009-10-28 A. Bartoli , J. Julve

We establish a new self-consistent system of equations for the gravitational and electromagnetic fields. The procedure is based on a non-minimal non-linear extension of the standard Einstein-Hilbert-Maxwell action. General properties of a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alexander B. Balakin , José P. S. Lemos

We construct globally regular gravitating Skyrmions, which possess only discrete symmetries. In particular, we present tetrahedral and cubic Skyrmions. The SU(2) Skyrme field is parametrized by an improved harmonic map ansatz. Consistency…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Theodora Ioannidou , Burkhard Kleihaus , Jutta Kunz

The series solution to Laplace's equation in a helical coordinate system is derived and refined using symmetry and chirality arguments. These functions and their more commonplace counterparts are used to model solenoidal magnetic fields via…

Instrumentation and Detectors · Physics 2020-07-10 Brian Pollack , Ryan Pellico , Cole Kampa , Henry Glass , Michael Schmitt

Spherically symmetric solutions of generic gravitational models are optimally, and legitimately, obtained by expressing the action in terms of the two surviving metric components. This shortcut is not to be overdone, however: a one-function…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Deser , J. Franklin , B. Tekin

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

In the framework of special Kahler geometry we consider the supergravity-matter system which emerges on a K3-fibered Calabi-Yau manifold. By applying the rigid limit procedure in the vicinity of a conifold singularity we compute the Kahler…

High Energy Physics - Theory · Physics 2009-10-31 Sergio Cacciatori , Daniela Zanon

In this paper we analyze the gravitational field of a global monopole in the context of $f(R)$ gravity. More precisely, we show that the field equations obtained are expressed in terms of $F(R)=\frac{df(R)}{dR}$. Since we are dealing with a…

General Relativity and Quantum Cosmology · Physics 2012-03-22 T. R. P. Caramês , E. R. Bezerra de Mello , M. E. X. Guimarães

We consider a class of parity even, six-derivative gravity theories in three dimensions. After linearizing around anti-de Sitter space, the theories have one massless and two massive graviton solutions for generic values of the parameters.…

High Energy Physics - Theory · Physics 2012-09-27 Eric A. Bergshoeff , Sjoerd de Haan , Wout Merbis , Jan Rosseel , Thomas Zojer

Global topological defects described by real scalar field in (3,1) dimensions coupled to gravity are analyzed. We consider a class of scalar potentials with explicit dependence with distance, evading Derrick's theorem and leading to defects…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Bazeia , C. Furtado , A. R. Gomes

The problem of linearization for third order evolution equations is considered. Criteria for testing equations for linearity are presented. A class of linearizable equations depending on arbitrary functions is obtained by requiring presence…

Exactly Solvable and Integrable Systems · Physics 2017-09-20 P. Basarab-Horwath , F. Güngör

Gravitational theories with multiple scalar fields coupled to the metric and each other --- a natural extension of the well studied single-scalar-tensor theories --- are interesting phenomenological frameworks to describe deviations from…

General Relativity and Quantum Cosmology · Physics 2016-05-02 Michael Horbatsch , Hector O. Silva , Davide Gerosa , Paolo Pani , Emanuele Berti , Leonardo Gualtieri , Ulrich Sperhake
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