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Unlike the classical Brauer group of a field, the Brauer-Grothendieck group of a singular scheme need not be torsion. We show that there exist integral normal projective surfaces over a large field of positive characteristic with…

Algebraic Geometry · Mathematics 2022-05-23 Louis Esser

For a class of scalar fields including the massless Klein-Gordon field the general relativistic hyperboloidal initial value problems are equivalent in a certain sense. By using this equivalence and conformal techniques it is proven that the…

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

Several physical natures of charged brane-world black holes have been investigated. At first, time-like and null geodesics of the charged brane-world black holes are presented. We also analyze all the possible motions by plotting the…

General Relativity and Quantum Cosmology · Physics 2009-03-12 M. Kalam , F. Rahaman , A. Ghosh , B. Raychaudhuri

We show that strictly stationary spacetimes cannot have non-trivial configurations of form fields/complex scalar fields and then the spacetime should be exactly Minkowski or anti-deSitter spacetimes depending on the presence of negative…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Tetsuya Shiromizu , Seiju Ohashi , Ryotaku Suzuki

We study the strong gravitational lensing in the background of a rotating non-Kerr compact object with a deformed parameter $\epsilon$ and an unbound rotation parameter $a$. We find that the photon sphere radius and the deflection angle…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Songbai Chen , Jiliang Jing

A new magnetically charged Kiselev black hole solution is used to study the null geodesics in this spacetime. We derive the equations of motion for the null geodesics and analyze their properties, including the gravitational lensing effect.…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Vitalie Lungu

The dynamics of symplectic gauge fields provides a consistent framework for fundamental interactions based on spin three gauge fields. One remarkable property is that symplectic gauge fields only have minimal couplings with gravitational…

General Relativity and Quantum Cosmology · Physics 2015-11-24 J. Asorey , M. Asorey , D. Garcia-Alvarez

If phantom Cuntz-Krieger algebras do not exist, then real rank zero Cuntz-Krieger algebras can be characterized by outer properties. In this survey paper, a summary of the known results on non-existence of phantom Cuntz-Krieger algebras is…

Operator Algebras · Mathematics 2012-10-25 Sara Arklint

Ongoing astronomical efforts extract physical properties of black holes from electromagnetic emissions in their near-vicinity. This requires finding the null geodesics which extend from the near-horizon region out to a distant observatory.…

General Relativity and Quantum Cosmology · Physics 2017-03-09 Achilleas P. Porfyriadis , Yichen Shi , Andrew Strominger

Q-balls are regular extended `objects' that exist for some non-gravitating, self-interacting, scalar field theories with a global, continuous, internal symmetry, on Minkowski spacetime. Here, analogous objects are also shown to exist around…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Carlos Herdeiro , Eugen Radu , Helgi Runarsson

The null geodesic equations that describe motion of photons in Kerr spacetime are solved exactly in the presence of the cosmological constant $\Lambda$. The exact solution for the deflection angle for generic light orbits (i.e. non-polar,…

General Relativity and Quantum Cosmology · Physics 2011-04-08 G. V. Kraniotis

A new framework for analysing the gravitational fields in a stationary, axisymmetric configuration is introduced. The method is used to construct a complete set of field equations for the vacuum region outside a rotating source. These…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Chris Doran , Anthony Lasenby

In the framework of quantum field theory in curved space-time, we study the quantization of a massless fermion field on a non-extremal Kerr black hole. The key theme in this note is the fundamental difference between scalar and fermion…

General Relativity and Quantum Cosmology · Physics 2013-10-31 Elizabeth Winstanley

It is shown that Kerr-Newman black holes can support linear charged scalar fields in their exterior regions. To that end, we solve analytically the Klein-Gordon wave equation for a stationary charged massive scalar field in the background…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Shahar Hod

In the recent article Phys.\ Lett.\ B {\bf 759} (2016) 424 a new class of field theories called Nonlinear Field Space Theory has been proposed. In this approach, the standard field theories are considered as linear approximations to some…

High Energy Physics - Theory · Physics 2017-01-05 Jakub Mielczarek

Black holes arising in the context of scalar-tensor gravity theories, where the scalar field is non-minimally coupled to the curvature term, have zero surface gravity. Hence, it is generally stated that their Hawking temperature is zero,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. G. Alvarenga , A. B. Batista , J. C. Fabris , G. T. Marques

The Elko field of Ahluwalia and Grumiller is a quantum field for massive spin-1/2 particles. It has been suggested as a candidate for dark matter. We discuss our attempts to interpret the Elko field as a quantum field in the sense of…

High Energy Physics - Theory · Physics 2016-11-15 A. B. Gillard , B. M. S. Martin

We discuss radiation fields in a compact space of finite size instead of that in a cavity for investigating the coupled atom-radiation field system. Representations of $T(1)\times SO(4)$ group are used to give a formulation for kinematics…

Quantum Physics · Physics 2007-05-23 Zhe Chang , Cheng-Bo Guan

Nonrotating and rotating black hole soltuions in (2+1) dimensions are studied in a model including a real scalar field with a simple potential coupled to gravity.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yoshitaka Degura , Kenji Sakamoto , Kiyoshi Shiraishi

The radiation from extreme Reissner-Nordstr\"{o}m black holes is computed by explicitly considering the collapse of a spherical charged shell. No neutral scalar radiation is found but there is emission of charged particles, provided the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luciano Vanzo