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In 1921 Bach and Weyl derived the method of superposition to construct new axially symmetric vacuum solutions of General Relativity. In this paper we extend the Bach-Weyl approach to non-vacuum configurations with massless scalar fields.…

General Relativity and Quantum Cosmology · Physics 2016-08-17 A. I. Egorov , P. E. Kashargin , Sergey V. Sushkov

In this paper, the backreaction to the traversable Lorentzian wormhole spacetime by the scalar field or electric charge is considered to find the exact solutions. The charges play the role of the additional matter to the static wormhole…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sung-Won Kim , Hyunjoo Lee

In this paper, we study the scattering problem of the scalar wave in the traversable Lorentzian wormhole geometry. The potentials and Schr\"odinger-like equations are found in cases of the static uncharged and the charged wormholes. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sung-Won Kim

In the context of FRW spacetime with zero spatial curvature, we consider a multi-scalar tensor cosmology model under the pretext of obtaining quadratic conservation laws. We propose two new interaction potentials of the scalar field.…

Mathematical Physics · Physics 2020-01-09 Sameerah Jamal

We construct wormholes in Einstein-scalar-Gauss-Bonnet theories with a potential for the scalar field that includes a mass term and self-interaction terms. By varying the Gauss-Bonnet coupling constant we delimit the domain of existence of…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Sardor Murodov

We consider rotating wormhole solutions in general relativity supported by a complex non-phantom spinor field (which provides a nontrivial spacetime topology) and electromagnetic fields. The solutions are asymmetric, regular, asymptotically…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Vladimir Dzhunushaliev , Vladimir Folomeev

Gravitational lensing by traversable Lorentzian wormholes is a ew possibility which is analyzed here in the strong field limit. Wormhole solutions are considered in the Einstein minimally coupled theory and in the brane world model. The…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Kamal Kanti Nandi , Yuan-Zhong Zhang , Alexander V. Zakharov

In this paper I shall show how notions of Finsler geometry can be used to construct a new type of geometry using a scalar field, f, on the cotangent bundle of a differentiable manifold, M. This new geometry will be called Lorentzian…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Gregory W. Horndeski

An analitical approximation of $<\phi^2>$ for a scalar field in a static spherically symmetric wormhole spacetime is obtained. The scalar field is assumed to be both massive and massless, with an arbitrary coupling $\xi$ to the scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Arkadii A. Popov , Sergey V. Sushkov

The existence of static, spherically symmetric, self-gravitating scalar field solutions in the context of Born-Infeld gravity is explored. Upon a combination of analytical approximations and numerical methods, the equations for a free…

General Relativity and Quantum Cosmology · Physics 2017-09-06 V. I. Afonso , Gonzalo J. Olmo , D. Rubiera-Garcia

We present a new class of solutions for static spherically symmetric wormhole spacetimes in conformal gravity and outline a detailed method for their construction. As an explicit example, we construct a class of traversable and…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Manuel Hohmann , Christian Pfeifer , Martti Raidal , Hardi Veermäe

The class of spherically-symmetric thin-shell wormholes provides a particularly elegant collection of exemplars for the study of traversable Lorentzian wormholes. In the present paper we consider linearized (spherically symmetric)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eric Poisson , Matt Visser

This paper discusses a new wormhole solution that admits conformal motion, given a noncommutative-geometry background. After a discussion of the wormhole geometry and the energy conditions, the analysis proceeds with the calculation of the…

General Physics · Physics 2015-06-16 Farook Rahaman , Saibal Ray , G. S. Khadekar , P. K. F. Kuhfittig , Indrani Karar

Static, spherically symmetric, traversable wormhole solutions with electric or magnetic charges are shown to exist in general relativity in the presence of scalar fields nonminimally coupled to gravity. These wormholes, however, turn out to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , S. Grinyok

We study a higher order conformally coupled scalar tensor theory endowed with a covariant geometric constraint relating the scalar curvature with the Gauss-Bonnet scalar. It is a particular Horndeski theory including a canonical kinetic…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine , Nicolas Lecoeur

It has been speculated that Lorentzian wormholes of the Morris- Thorne type might be allowed by the laws of physics at submicroscopic, e.g. Planck, scales and that a sufficiently advanced civilization might be able to enlarge them to…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Thomas A. Roman

We consider theories containing scalar fields interacting with vector or with tensor degrees of freedom, equipped with symmetries that prevent the propagation of linearized scalar excitations around solutions of the equations of motion. We…

High Energy Physics - Theory · Physics 2020-10-14 Gianmassimo Tasinato

We consider the two scalar field cosmology in a FRW spatially flat spacetime where the scalar fields interact both in the kinetic part and the potential. We apply the Noether point symmetries in order to define the interaction of the scalar…

General Relativity and Quantum Cosmology · Physics 2014-09-09 Andronikos Paliathanasis , Michael Tsamparlis

Scalar-tensor theory predicts solutions to the gravitational field equations which describe compact objects in the presence of a non-minimally coupled scalar field to the Einstein tensor. These objects are black holes with scalar hair and…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Christoforos Vlachos , Eleftherios Papantonopoulos , Kyriakos Destounis

We study complex scalar theories with dipole symmetry and uncover a no-go theorem that governs the structure of such theories and which, in particular, reveals that a Gaussian theory with linearly realised dipole symmetry must be…

High Energy Physics - Theory · Physics 2022-07-19 Leo Bidussi , Jelle Hartong , Emil Have , Jørgen Musaeus , Stefan Prohazka