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We study the set of trapped photons of a subcritical (a<M) Kerr spacetime as a subset of the phase space. First, we present an explicit proof that the photons of constant Boyer--Lindquist coordinate radius are the only photons in the Kerr…

Differential Geometry · Mathematics 2019-10-14 Carla Cederbaum , Sophia Jahns

A unique class of local Higher Spin Gravities with propagating massless fields in $4d$ - Chiral Higher Spin Gravity - was first found in the light-cone gauge. We construct a covariant form of the corresponding field equations in all orders,…

High Energy Physics - Theory · Physics 2023-03-07 Alexey Sharapov , Evgeny Skvortsov , Arseny Sukhanov , Richard Van Dongen

We consider a class of singlet scalar extensions of the Standard Model of particle physics in which the scalar couples only to off-shell states. As a result, low-order tree-level processes involving the singlet scalar vanish, providing a…

High Energy Physics - Phenomenology · Physics 2025-01-22 Christoph Englert , Andrei Lazanu , Peter Millington

We present a local seed-to--Kerr--Schild route to Birkhoff rigidity in four-dimensional spherical vacuum gravity. On the two-dimensional orbit space, the areal radius \(r\) determines a scalar \(F:=-(\nabla r)^2\), and the reduced vacuum…

General Relativity and Quantum Cosmology · Physics 2026-04-14 D. A. Easson

Strong field gravitational lensing in the Brans-Dicke theory has been studied. The deflection angle for photons passing very close to the photon sphere is estimated for the static spherically symmetric space-time of the theory and the…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Kabita Sarkar , Arunava Bhadra

We construct simple Lagrangians of vector fields which involve second derivatives, but nevertheless lead to second order field equations. These vector fields are, therefore, analogs of generalized Galileons. Our construction is given first…

High Energy Physics - Theory · Physics 2019-07-24 Pavel Petrov

We demonstrate the existence of photon traps within the framework of nonlinear electrodynamics. The trapping mechanism is based on the fact that, for null background fields, the optical metric reduces to the Kerr-Schild form, which plays a…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Érico Goulart , Eduardo Bittencourt

A massless scalar field minimally coupled to the gravitational field in a simplified spherical symmetry is discussed. It is shown that, in this case, the solution found by Roberts, describing a scalar field collapse, is in fact the most…

General Relativity and Quantum Cosmology · Physics 2009-10-28 H. P. de Oliveira , E. S. Cheb-Terrab , DFT-UERJ , Brazil

Black holes are important astrophysical objects describing an end state of stellar evolution, which are observed frequently. There are theoretical predictions that Kerr black holes with high spins expel magnetic fields. However, Kerr black…

General Relativity and Quantum Cosmology · Physics 2017-03-13 Norman Gürlebeck , Martin Scholtz

We discuss the relation between the superradiance phenomenon and the instability of rotating black holes in higher dimensions. In particular, we point out that the superradiant instability of a massless scalar field around a simply rotating…

High Energy Physics - Theory · Physics 2008-11-26 Hideo Kodama

It is shown that the gravitational field, as a physical field developing in the Minkowsky space, does not lead to unlimited gravitational collapse of massive bodies and, hence, excludes a possibility of the formation of the ``black holes''.

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. S. Gershtein , A. A. Logunov , M. A. Mestvirishvili

Quantum fields do not satisfy the pointwise energy conditions that are assumed in the original singularity theorems of Penrose and Hawking. Accordingly, semiclassical quantum gravity lies outside their scope. Although a number of…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Christopher J. Fewster , Eleni-Alexandra Kontou

Stationary, asymptotically flat black holes in scalar-tensor theories of gravity are studied. It is shown that such black holes have no scalar hair and are the same as in General Relativity.

General Relativity and Quantum Cosmology · Physics 2013-03-05 Valerio Faraoni , Thomas P. Sotiriou

Null geodesics, quasinormal modes of a massless scalar field perturbation and the correspondence with shadow radii are investigated in the background spacetime of high-dimensional Einstein-Yang-Mills black holes. Based on the properties of…

High Energy Physics - Theory · Physics 2020-10-27 Yang Guo , Yan-Gang Miao

For many purposes, a three-dimensional foliation of spacetime is more advantageous to understanding its light cone structure. We derive the equations describing such foliations for the Kerr geometry with non-zero cosmological constant, and…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Abdulrahim Al Balushi , Robert B. Mann

We describe a new approach to calculating photon trajectories and gravitational lensing effects in the strong gravitational field of the Kerr black hole. These techniques are applied to explore both the imaging and spectral properties of…

Astrophysics · Physics 2011-05-10 Kris Beckwith , Chris Done

We analyze the influence of the gravitational field produced by a slowly rotating black hole with a cosmic string along the axis of symmetry on a massive scalar field. Exact solutions of both angular and radial parts of the Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2015-04-14 H. S. Vieira , V. B. Bezerra , André A. Costa

We describe extrinsic hyperspheres and totally geodesic hypersurfaces in manifolds with special holonomy. In particular we prove the nonexistence of extrinsic hyperspheres in quaternion-Kaehler manifolds. We develop a new approach to…

Differential Geometry · Mathematics 2019-01-08 Tillmann Jentsch , Andrei Moroianu , Uwe Semmelmann

We consider Maxwell fields associated with any shear-free null geodesic congruence on Minkowski or Riemannian background space-time. Bounded singular loci of these fields are treated as particle-like formations, possess "self-quantized"…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Vladimir V. Kassandrov , Vladimir N. Trishin

In this paper, we investigate so-called spherical photon orbits around a deformed Kerr black hole with an extra deformation parameter. The change in the azimuth $\Delta\varphi$ and the angle of dragging of nodes per revolution $\Delta\Omega…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Changqing Liu , Chikun Ding , Jiliang Jing
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