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We investigate the geometrical aspects of the extended (2+1) dimensional Banados-Teitelboim-Zanelli spacetimes in the multiply warped product scheme. To do this, we analyze the interior physical properties by constructing the explicit warp…

广义相对论与量子宇宙学 · 物理学 2014-08-11 Soon-Tae Hong , Yeji Kim

We obtain (3+1) and (3+2) dimensional global flat embeddings of (2+1) uncharged and charged black strings, respectively. In particular, the charged black string, which is the dual solution of the Banados-Teitelboim-Zanelli black holes, is…

高能物理 - 理论 · 物理学 2009-11-07 Soon-Tae Hong , Won Tae Kim , John J. Oh , Young-Jai Park

We apply the warped product spacetime scheme to the Banados-Teitelboim-Zanelli black holes and the Reissner-Nordstr\"om-anti-de Sitter black hole to investigate their interior solutions in terms of warped products. It is shown that there…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Soon-Tae Hong

The (single) black hole solutions of Ba\~nados, Teitelboim and Zanelli (BTZ) in 2+1 dimensional anti-de Sitter space are generalized to an arbitrary number $n$ of such black holes. The resulting multi-black-hole (MBH) spacetime is locally…

广义相对论与量子宇宙学 · 物理学 2011-04-15 Dieter R. Brill

Exact solutions of Einstein's equations in 2+1-dimensional anti-de Sitter space containing any number of black holes are described. In addition to the black holes these spacetimes can possess ``internal'' structure. Accordingly the generic…

广义相对论与量子宇宙学 · 物理学 2017-09-27 Dieter Brill

We obtain the higher dimensional global flat embeddings of static, rotating, and charged BTZ black holes. On the other hand, we also study the similar higher dimensional flat embeddings of the (2+1) de Sitter black holes which are the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

I review the classical and quantum properties of the (2+1)-dimensional black hole of Ba{\~n}ados, Teitelboim, and Zanelli. This solution of the Einstein field equations in three spacetime dimensions shares many of the characteristics of the…

广义相对论与量子宇宙学 · 物理学 2010-04-28 Steven Carlip

A large variety of spacetimes---including the BTZ black holes---can be obtained by identifying points in 2+1 dimensional anti-de Sitter space by means of a discrete group of isometries. We consider all such spacetimes that can be obtained…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Stefan Aminneborg , Ingemar Bengtsson , Dieter Brill , Soren Holst , Peter Peldan

In 2+1 dimensional Chern-Simons gravity, Wilson loops in the three dimensional Anti de Sitter group, $SO(2,2)$, reproduce the spinning black hole of Ba\~nados, Teitelboim and Zanelli (BTZ) by naturally duplicating the necessary…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Cenalo Vaz , Louis Witten

The Ba\~{n}ados, Teitelboim and Zanelli\cite{BTZ} solution corresponding to the exterior space-time of a black hole in $(2+1)$ dimensions has been found to be very useful to understand various aspects relating to the gravitational field of…

广义相对论与量子宇宙学 · 物理学 2015-06-12 Ayan Banerjee , Farook Rahaman , Kanti Jotania , Ranjan Sharma , Indrani Karar

We derive and discuss black-hole solutions to the gravitating O(3) $\sigma$ model in (2+1) dimensions. Three different kinds of static black holes are found. One of these resembles the static BTZ black hole, another is completely free of…

广义相对论与量子宇宙学 · 物理学 2009-10-31 G. Clément , A. Fabbri

Motivated by the well-known charged BTZ black holes, we look for $(2+1)$-dimensional solutions of $F(R)$ gravity. At first we investigate some near horizon solutions and after that we obtain asymptotically Lifshitz black hole solutions.…

广义相对论与量子宇宙学 · 物理学 2015-07-13 S. H. Hendi

Lower dimensional gravity has the potential of providing non-trivial and valuable insight into some of the conceptual issues arising in four dimensional relativistic gravitational analysis. The asymptotically anti-de Sitter (2+1)…

广义相对论与量子宇宙学 · 物理学 2011-09-21 Ranjan Sharma , Farook Rahaman , Indrani Karar

Vacuum Einstein theory in three spacetime dimensions is locally trivial, but admits many solutions that are globally different, particularly if there is a negative cosmological constant. The classical theory of such locally "anti-de Sitter"…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Dieter Brill

We study thermodynamics of (1+1) dimensional dilatonic black holes in global embedding Minkowski space scheme. Exploiting geometrical entropy correction we construct consistent entropy for the charged dilatonic black hole. Moreover, (1+1)…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Soon-Tae Hong

Several types of static solutions to Einstein's equations coupled with antisymmetric tensor fields are found in $(2+N+1)$-dimensional spacetime. The solutions describe a product of a three-dimensional radially symmetric spacetime and an…

广义相对论与量子宇宙学 · 物理学 2018-02-06 Takuya Maki , Kiyoshi Shiraishi

Generalizations of the Black Hole geometry of Ba\~nados, Teitelboim and Zanelli (BTZ) are presented. The theory is three-dimensional vacuum Einstein theory with a negative cosmological constant. The $n$-black-hole solution has $n$…

广义相对论与量子宇宙学 · 物理学 2009-12-30 Dieter R. Brill

A one parameter family of static charged black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton $\phi\propto ln({r\over\beta})$ with a potential term $e^{b\phi}\Lambda$ is obtained. Their causal…

广义相对论与量子宇宙学 · 物理学 2014-11-17 K. C. K. Chan , R. B. Mann

We discuss black hole solutions in (2+1)-dimensions with a scalar field non-minimally coupled to Einstein's gravity in the presence of a cosmological constant and a self-interacting scalar potential. Without specifying the form of the…

广义相对论与量子宇宙学 · 物理学 2019-07-17 Zi-Yu Tang , Yen Chin Ong , Bin Wang , Eleftherios Papantonopoulos

We obtain minimal (2+1) and (2+2) dimensional global flat embeddings of uncharged and charged dilatonic black holes in (1+1) dimensions, respectively. Moreover, we obtain the Hawking temperatures and the black hole ones of these dilatonic…

广义相对论与量子宇宙学 · 物理学 2009-06-11 Soon-Tae Hong , Won Tae Kim , John J. Oh , Young-Jai Park
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