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In a new gravitational theory with the trace anomaly recently proposed by Gabadadze, we study the existence of hairy black hole solutions on a static and spherically symmetric background. In this theory, the effective 4-dimensional action…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Shinji Tsujikawa

By a simple modification of Hawking's well-known topology theorems for black hole horizons, we find lower bounds for the areas of smooth apparent horizons and smooth cross-sections of stationary black hole event horizons of genus $g>1$ in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. Woolgar

In this paper, we studied Einsteinian quartic gravity minimally coupled to electrodynamics in four dimensions. First, by variation action, we obtain the field equations, and by integration, we obtain a nonlinear third-order differential…

General Relativity and Quantum Cosmology · Physics 2022-11-30 S. N. Sajadi , Leila Shahkarami , Farid Charmchi , S. H. Hendi

We propose a boundary term to the Einstein-Gauss-Bonnet action for gravity, which is constructed as the dimensional continuation of the Chern-Weil theorem, and such that the extremization of the full action yields the equations of motion…

General Relativity and Quantum Cosmology · Physics 2018-05-16 Nathalie Deruelle , Nelson Merino , Rodrigo Olea

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

We study spherical charged black holes in the presence of a cosmological constant with corrections motivated by the theory of loop quantum gravity. The effective theory is constructed at the Hamiltonian level by introducing certain…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Asier Alonso-Bardaji , David Brizuela , Raül Vera

Shibata, Ury\=u and Friedman recently suggested a new decomposition of Einstein's equations that is useful for constructing initial data. In contrast to previous decompositions, the conformal metric is no longer treated as a…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Gregory B. Cook , Thomas W. Baumgarte

In General Relativity and many modified theories of gravity, isolated black holes (BHs) cannot source massless scalar fields. Einstein-Maxwell-dilaton (EMd) theory is an exception: through couplings both to electromagnetism and…

General Relativity and Quantum Cosmology · Physics 2018-11-15 Mohammed Khalil , Noah Sennett , Jan Steinhoff , Justin Vines , Alessandra Buonanno

We develop a framework that systematically casts the solvability and uniqueness conditions of linearized geometric boundary-value problems into cohomological terms. The theory is designed to be applicable without assumptions on the…

Differential Geometry · Mathematics 2026-03-16 Roee Leder

We find a class of charged black hole solutions in third order Lovelock Gravity. To obtain this class of solutions, we are not confined to the usual assumption of maximal symmetry on the horizon and will consider the solution whose boundary…

General Relativity and Quantum Cosmology · Physics 2018-04-12 N. Farhangkhah

We construct the first binary black hole solutions of Einstein-Maxwell theory in asymptotically anti-de Sitter space. The attractive force between the two black holes is balanced by the addition of a background electric field, sourced at…

High Energy Physics - Theory · Physics 2025-06-09 William D. Biggs , Jorge E. Santos

Einstein gravity supplemented by a scalar field non-minimally coupled to a Gauss-Bonnet term provides an example of model of scalar-tensor gravity where hairy black holes do exist. We consider the classical equations within a metric endowed…

General Relativity and Quantum Cosmology · Physics 2018-11-21 A. Brandelet , Y. Brihaye , T. Delsate , L. Ducobu

We solve for the spectrum of the Laplacian as a Hamiltonian on $\mathbb{R}^{2}-\mathbb{D}$ and in $\mathbb{R}^{3}-\mathbb{B}$. A self-adjointness analysis with $\partial\mathbb{D}$ and $\partial\mathbb{B}$ as the boundary for the two cases…

General Relativity and Quantum Cosmology · Physics 2013-05-29 T. R. Govindarajan , Rakesh Tibrewala

We construct and discuss solutions of SO(1,2) x SO(1,2) Chern-Simons theory which correspond to multiple BTZ black holes. These solutions typically have additional singularities, the simplest cases being special conical singularities with a…

High Energy Physics - Theory · Physics 2009-10-31 Teresia Mansson , Bo Sundborg

The endpoint of black hole evaporation remains uncertain once the semiclassical description approaches the Planck scale. In this work we study late-stage evaporation within four-dimensional gravitational effective field theory. We consider…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Lorens F. Niehof , Sjors Heefer , Andrea Fuster , Federico Toschi

We consider rotating black hole solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant and a generic value of the Chern-Simons coupling constant $\lambda$. Using both analytical and…

General Relativity and Quantum Cosmology · Physics 2017-03-29 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

A New Taub-NUT black hole in multiple coordinate systems is solved and analyzed. This black-hole is found to be an extension of the Clifton-Barrow metric for the specific case that $\delta=-1/2$. We look at physical properties such as test…

General Relativity and Quantum Cosmology · Physics 2025-09-11 J. G. Fenwick , A. M. Ghezelbash

We construct the Kaluza-Klein multi-black hole solutions on the Gibbons-Hawking multi-instanton space in the five-dimensional Einstein-Maxwell theory. We study geometric properties of the multi-black hole solutions. In particular, unlike…

High Energy Physics - Theory · Physics 2009-11-11 Hideki Ishihara , Masashi Kimura , Ken Matsuno , Shinya Tomizawa

Three-dimensional Einstein gravity with negative cosmological constant admits stationary black holes that are not necessarily spherically symmetric. We propose boundary conditions for the near horizon region of these black holes that lead…

High Energy Physics - Theory · Physics 2016-05-25 Hamid Afshar , Stephane Detournay , Daniel Grumiller , Wout Merbis , Alfredo Perez , David Tempo , Ricardo Troncoso

The asymptotically flat, electrically charged, rotating black holes (BHs) in Einstein-Maxwell-dilaton (EMd) theory are known in closed form for \textit{only} two particular values of the dilaton coupling constant $\gamma$: the…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Carlos Herdeiro , Eugen Radu , Etevaldo dos Santos Costa Filho