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We show that, contrary to what is usually claimed in the literature, the zero mass limit of Kerr spacetime is not flat Minkowski space but a spacetime whose geometry is only locally flat. This limiting spacetime, as the Kerr spacetime…

High Energy Physics - Theory · Physics 2017-08-02 Gary W. Gibbons , Mikhail S. Volkov

It has been argued in existing literature that the zero mass limit of Kerr spacetime corresponds to either flat Minkowski spacetime or a wormhole exhibiting a locally flat geometry. In this study, we examine that the zero mass limit of the…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Parthapratim Pradhan , John W. Moffat

A radial deformation of the Kerr metric is studied which leads to the appearance of wormholes in certain cases. {\bf These wormholes can be thought of as being formed by two distinct but identical asymptotically non-flat spacetimes joined…

General Relativity and Quantum Cosmology · Physics 2014-07-17 T. Ghasabi , N. Riazi

Investigations of shadows of astrophysical entities constitute a major source of insight into the evolution of compact objects. Such effects depend on the nature of the compact object and arise on account of the strong gravitational lensing…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Muhammed Amir , Kimet Jusufi , Ayan Banerjee , Sudan Hansraj

We analyze the properties of a Kerr-like wormhole supported by phantom matter, which is an exact solution of the Einstein-phantom field equations. It is shown that the solution has a naked ring singularity which is unreachable to null…

General Relativity and Quantum Cosmology · Physics 2021-02-09 Tonatiuh Matos , L. Arturo Urena-Lopez , Galaxia Miranda

The ring wormhole is the zero-mass limit of the Kerr metric. Its geometry is locally flat, but the topology is nontrivial, with a throat connecting two asymptotic regions and a distributional curvature singularity on the ring encircling the…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Mikhail S. Volkov

It is thought that the final product of the gravitational collapse is a Kerr black hole and astronomers have discovered several good astrophysical candidates. While there is some indirect evidence suggesting that the latter have an event…

General Relativity and Quantum Cosmology · Physics 2012-04-09 Cosimo Bambi

The effects of asymptotically anti-de Sitter wormholes in low-energy field theory are calculated in full detail for three different matter contents: a conformal scalar field, an electromagnetic field and gravitons. There exists a close…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Barcelo , L. J. Garay

In the present paper we discuss properties of a model of a ring wormhole, recently proposed by Gibbons and Volkov. Such a wormhole connects two flat spacetimes which are glued through discs of the radius $a$ bounded by the string with…

High Energy Physics - Theory · Physics 2023-07-26 Valeri P. Frolov , Pavel Krtous , Andrei Zelnikov

We consider the limit $a\rightarrow \infty$ of the Kerr-de Sitter spacetime. The spacetime is a Petrov type-D solution of the vacuum Einstein field equations with a positive cosmological constant $\Lambda$, vanishing Mars-Simon tensor and…

General Relativity and Quantum Cosmology · Physics 2018-01-24 Marc Mars , Tim-Torben Paetz , José M. M. Senovilla

It is now widely accepted that the universe as we understand it is accelerating in expansion and fits the de Sitter model rather well. As such, a realistic assumption of black holes must place them on a de Sitter background and not…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Sarp Akcay , Richard Matzner

We clarify the relationship between rotation and the energy condition for stationary rotating wormhole solutions of the Einstein equations coupled to a phantom field in five-dimensional spacetime with equal angular momenta, particularly…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Keiya Uemichi , Yasutaka Koga , Daiki Saito , Chul-Moon Yoo , Daisuke Yoshida

This chapter provides a brief introduction to the Kerr spacetime and rotating black holes, touching on the most common coordinate representations of the spacetime metric and the key features of the geometry -- the presence of horizons and…

General Relativity and Quantum Cosmology · Physics 2008-01-15 Matt Visser

In 6D general relativity with a phantom scalar field as a source of gravity, we present solutions that implement a transition from an effective 4D geometry times small extra dimensions to an effectively 6D space-time where the physical laws…

General Relativity and Quantum Cosmology · Physics 2017-09-19 K. A. Bronnikov , P. A. Korolyov , A. Makhmudov , M. V. Skvortsova

In the Comment written by Krasnikov \cite{Krasnikov:2019mrd} on our recent paper \cite{Dai:2019mse}, the author argues that a spherically symmetric perturbation coming from a massive object located on the other side of the wormhole would…

General Relativity and Quantum Cosmology · Physics 2020-04-22 De-Chang Dai , Dejan Stojkovic

The approach of Gao, Jafferis, and Wall to perturbatively construct traversable wormholes has seen success in a number of black hole backgrounds, particularly BTZ and $AdS_2$, whereas historically most wormhole solutions have been either…

High Energy Physics - Theory · Physics 2023-04-18 Ryan Bilotta

In recent, Kar.S et.al [ Phys Rev D 67,044005 (2003) ] have obtained static spherically symmetric solutions of the Einstein-Kalb-Ramond field equations. We have shown that their solutions, indeed, represent Wormholes.

General Relativity and Quantum Cosmology · Physics 2010-11-11 F. Rahaman , M. Kalam , A. Ghosh

The spacetime around astrophysical black holes is thought to be described by the Kerr solution. However, even within general relativity, there is not yet a proof that the final product of the complete collapse of an uncharged body can only…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Jiahao Tao , Shafqat Riaz , Biao Zhou , Askar B. Abdikamalov , Cosimo Bambi , Daniele Malafarina

Repulsive gravity is not very popular in physics. However, one comes across it in at least two main occurrences in general relativity: in the negative-$r$ region of Kerr spacetime, and as the result of the gravitational interaction between…

General Relativity and Quantum Cosmology · Physics 2015-10-01 M. Villata

We consider the Kerr-de Sitter (Kerr-dS) black hole in various dimensions. Introducing a counterterm, we show that the total action of these spacetimes are finite. We compute the masses and the angular momenta of Kerr-dS spaces with one…

High Energy Physics - Theory · Physics 2009-11-07 M. H. Dehghani
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