Letter: Charged Black Hole Solutions in Einstein-Born-Infeld Gravity with a Cosmological Constant

By S. Fernando, Donald Krug. 2003

180 citations recorded by the source corpus.

We construct black hole solutions to Einstein-Born-Infeld gravity with a cosmological constant. Since an elliptic function appears in the solutions for the metric, we construct horizons numerically. The causal structure of these solutions differs drastically from their counterparts in Einstein-Maxwell gravity with a cosmological constant. The charged de-Sitter black holes can have up to three horizons and the charged anti-de Sitter black hole can have one or two depending on the parameters chosen.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0714c972292f7232331767a685db02d8f6fc9a4e

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Citations in the corpus

Topology of black hole thermodynamics (2021, background): “Now let us turn to the charged Born-Infeld (BI) AdS black hole [20], where besides the conventional critical point, a novel one shall emerge.”
Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization (2012, background): “4 Critical behaviour The thermodynamic behaviour of Born-Infeld-AdS black holes and the corresponding phase transitions were studied in the grand canonical ensemble in [25] and in canonical ensemble in [22].”
Effective holographic theories for low-temperature condensed matter systems (2010, background): “ctions between charge carriers. Only in the dilute charge limit the action linearizes to a Maxwell action. In this context, the relevant charged solution is the AdS-DBI-RN solutions ﬁrst discussed in [38, 39]. In many cases the important dynamics of strongly coupled theory is driven by a scalar lead”