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The paper addresses the quantization of minisuperspace cosmological models, with application to the Taub Model. By desparametrizing the model with an extrinsic time, a formalism is developed in order to define a conserved Schr\"{o}dinger…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Gabriel Catren , Rafael Ferraro

The Gross-Perry-Sorkin spacetime, formed by the Euclidean Taub-NUT space with the time trivially added, is the appropriate background of the Dirac magnetic monopole without an explicit mass term. One remarks that there exists a very simple…

High Energy Physics - Theory · Physics 2010-11-19 Ion I. Cotăescu

The class of scalar-tensor theories with the scalar field coupling to the Gauss-Bonnet invariant has drawn great interest since solutions of spontaneous scalarization were found for black holes in these theories. We contribute to the…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Rui Xu , Yong Gao , Lijing Shao

Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations.…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Sam R. Dolan , Chris Kavanagh , Barry Wardell

Modulo conventional scale factors, the Simon and Simon-Mars tensors are defined for stationary vacuum spacetimes so that their equality follows from the Bianchi identities of the second kind. In the nonvacuum case one can absorb additional…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Donato Bini , Christian Cherubini , Robert T. Jantzen , Giovanni Miniutti

Taub-NUT black holes are somewhat exotic solutions to the vacuum Einstein equations, which have received limited attention in gravitational phenomenology. We use the soft behaviour of scattering amplitudes to compute the memory effect of…

High Energy Physics - Theory · Physics 2026-03-31 George Doran , Ricardo Monteiro , Nathan Moynihan

We study the Dirac equation in a spacetime that represents the nonlinear superposition of the Schwarzchild solution to an external, stationary electromagnetic Berttoti-Robinson solution. We separate the Dirac equation into radial and…

General Relativity and Quantum Cosmology · Physics 2017-08-24 A. Al-Badawi , M. Q. Owaidat

We construct a novel charged Taub-NUT spacetime, providing a first non-trivial example of a self-gravitating solution to the recently proposed ModMax theory, the most general (1-parametric) theory of non-linear electrodynamics that is…

High Energy Physics - Theory · Physics 2021-04-28 Alvaro Ballon Bordo , David Kubiznak , Tales Rick Perche

A detailed account is given on approximation schemes to the Einstein theory of general relativity where the iteration starts from the Newton theory of gravity. Two different coordinate conditions are used to represent the Einstein field…

General Relativity and Quantum Cosmology · Physics 2024-05-19 Gerhard Schäfer

In 1963 Ezra Ted Newman and his two students Louis A. Tamburino, and Theodore W. J. Unti, proposed a deformation of the Shwarzschild spacetime that made it twisting. In the cosmological context, an equivalent solution had been found…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Jerzy Lewandowski , Maciej Ossowski

The analysis of singular regions in the NUT solutions carried out in the recent paper (Manko and Ruiz, 2005 Class. Quantum Grav. 22, p.3555) is now extended to the Demianski-Newman vacuum and electrovacuum spacetimes. We show that the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. S. Manko , J. Martin , E. Ruiz

We consider a class of exact solutions to the Einstein equations in the presence of a scalar field, recently introduced in [arXiv:2307.09328, arXiv:2307.13588], and derive their generalized form with dyonic charges using Harrison…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Fatemeh Sadeghi , Behrouz Mirza , Marzieh Moradzadeh

We develop a formalism to treat higher order (nonlinear) metric perturbations of the Kerr spacetime in a Teukolsky framework. We first show that solutions to the linearized Einstein equation with nonvanishing stress tensor can be decomposed…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Stephen R. Green , Stefan Hollands , Peter Zimmerman

It is shown that a Dirac(-type) equation for a rank-two bi-spinor field on Minkowski (configuration) spacetime furnishes a Lorentz-covariant quantum-mechanical wave equation in position-space representation for a single free photon. This…

Mathematical Physics · Physics 2019-01-04 Michael K. -H. Kiessling , A. Shadi Tahvildar-Zadeh

We consider four dimensional stationary and axially symmetric spacetimes for conformally coupled scalar-tensor theories. We show that, in analogy to the Lewis-Papapetrou problem in General Relativity (GR), the theory at hand can be recast…

High Energy Physics - Theory · Physics 2015-06-17 Yannis Bardoux , Marco M. Caldarelli , Christos Charmousis

Einstein spacetimes (that is vacuum spacetimes possibly with a non-zero cosmological constant {\Lambda}) with constant non-zero Weyl eigenvalus are considered. For type Petrov II & D this assumption allows one to prove that the non-repeated…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Alan Barnes

The occurrence of chaos for test particles moving in a Taub-NUT spacetime with a dipolar halo perturbation is studied using Poincar\'e sections. We find that the NUT parameter (magnetic mass) attenuates the presence of chaos.

General Relativity and Quantum Cosmology · Physics 2009-10-30 P. S. Letelier , W. M. Vieira

We wish to construct solutions of Taub-NUT spacetime in Einstein-Born-Infeld gravity in even dimensions. Since Born-Infeld theory is a nonlinear electrodynamics theory, in leads to nonlinear differential equations. However a proper…

High Energy Physics - Theory · Physics 2014-11-20 A. Khodam-Mohammadi

We consider massless higher spin gauge theories with both electric and magnetic sources, with a special emphasis on the spin two case. We write the equations of motion at the linear level (with conserved external sources) and introduce…

High Energy Physics - Theory · Physics 2008-11-26 C. Bunster , S. Cnockaert , M. Henneaux , R. Portugues

A self consistent solution to Dirac equation in a Kerr Newman space-time with $M^2 > a^2 + Q^2$ is presented for the case when the Dirac particle is the source of the curvature and the electromagnetic field. The solution is localised,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Ranganathan