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We study spherically symmetric static solutions to the semi-classical Einstein equation sourced by the vacuum energy of quantum fields in the curved space-time of the same solution. We found solutions that are small deformations of the…

高能物理 - 理论 · 物理学 2018-03-14 Pei-Ming Ho , Yoshinori Matsuo

The known static electro-vacuum black holes in a globally AdS$_4$ background have an event horizon which is geometrically a round sphere. In this work we argue that the situation is different in models with matter fields possessing an…

广义相对论与量子宇宙学 · 物理学 2016-02-24 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

We derive static spherically symmetric regular black holes as vacuum solutions to purely gravitational theories in four dimensions. To that end, we construct four-dimensional non-polynomial gravities starting from subclasses of…

广义相对论与量子宇宙学 · 物理学 2026-02-20 Johanna Borissova , Raúl Carballo-Rubio

We study static, spherically symmetric black hole solutions of the Einstein equations with a positive cosmological constant and a conformally coupled self interacting scalar field. Exact solutions for this model found by Mart{\'\i}nez,…

高能物理 - 理论 · 物理学 2008-11-26 Gustavo Dotti , Reinaldo J. Gleiser , Cristian Martinez

We study static spherically symmetric solutions to the vacuum field equations of quadratic gravity in the presence of a cosmological constant $\Lambda$. Motivated by the trace no-hair theorem, we assume the Ricci scalar to be constant…

广义相对论与量子宇宙学 · 物理学 2021-03-26 Vojtech Pravda , Alena Pravdova , Jiri Podolsky , Robert Svarc

We present a new explicit class of black holes in general quadratic gravity with a cosmological constant. These spherically symmetric Schwarzschild-Bach-(anti-)de Sitter geometries (Schwa-Bach-(A)dS), derived under the assumption of…

广义相对论与量子宇宙学 · 物理学 2018-12-10 Robert Svarc , Jiri Podolsky , Vojtech Pravda , Alena Pravdova

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

广义相对论与量子宇宙学 · 物理学 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

We investigate static and spherically symmetric vacuum solutions in the symmetric teleparallel $f(\mathbb{Q})$ modified theory of gravity. Starting from a recently proposed classification of affine connections compatible with both the…

广义相对论与量子宇宙学 · 物理学 2026-02-24 A. Dehyadegari , A. Sheykhi

We study static, spherically symmetric vacuum solutions to Quadratic Gravity, extending considerably our previous Rapid Communication [Phys. Rev. D 98, 021502(R) (2018)] on this topic. Using a conformal-to-Kundt metric ansatz, we arrive at…

广义相对论与量子宇宙学 · 物理学 2020-01-15 Jiri Podolsky , Robert Svarc , Vojtech Pravda , Alena Pravdova

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

广义相对论与量子宇宙学 · 物理学 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

We present a detailed study of the static spherically symmetric solutions in de Rham-Gabadadze-Tolley (dRGT) theory. Since the diffeomorphism invariance can be restored by introducing the St\"{u}ckelberg fields $\phi^a$, there is new…

广义相对论与量子宇宙学 · 物理学 2016-04-13 Ping Li , Xin-zhou Li , Ping Xi

We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by…

高能物理 - 理论 · 物理学 2010-11-19 S. Mignemi , D. L. Wiltshire

We present a spherically symmetric and static exact solution of Quantum Einstein Equations. This solution is asymptotically (for large $r$) identical with the black hole solution on the anti--De Sitter background and, for some range of…

广义相对论与量子宇宙学 · 物理学 2010-11-19 J. Kowalski - Glikman

Using perturbative techniques, we investigate the existence and properties of a new static solution for the Einstein equation with a negative cosmological constant, which we call the deformed black hole. We derive a solution for a static…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Hirotaka Yoshino , Tohru Ohba , Akira Tomimatsu

By deriving and solving the gravitational and electromagnetic field equations in $f(R,T)$ gravity coupled with nonlinear electrodynamics, we obtain a static spherically symmetric charged solution that incorporates higher-order correction…

广义相对论与量子宇宙学 · 物理学 2025-11-26 Tianyou Ren , Zhenglong Ban , Yaobin Hua , Rong-Jia Yang

We study a static spherically symmetric problem with a black hole and radially directed geodesic flows of dark matter. The obtained solutions have the following properties. At large distances, the gravitational field produces constant…

广义相对论与量子宇宙学 · 物理学 2021-02-11 Igor Nikitin

In the context of the recently proposed type-II minimally modified gravity theory, i.e. a metric theory of gravity with two local physical degrees of freedom that does not possess an Einstein frame, we study spherically symmetric vacuum…

广义相对论与量子宇宙学 · 物理学 2021-03-12 Antonio De Felice , Andreas Doll , François Larrouturou , Shinji Mukohyama

We investigate static axially symmetric black hole solutions in a four-dimensional Einstein-Yang-Mills-SU(2) theory with a negative cosmological constant $\Lambda$. These solutions approach asymptotically the anti-de Sitter spacetime and…

高能物理 - 理论 · 物理学 2009-11-10 Eugen Radu , Elizabeth Winstanley

We investigate static and spherically symmetric black hole (BH) solutions in shift-symmetric quadratic-order degenerate higher-order scalar-tensor (DHOST) theories. We allow a nonconstant kinetic term $X=g^{\mu\nu}…

广义相对论与量子宇宙学 · 物理学 2020-02-26 Masato Minamitsuji , James Edholm

We study exact static spherically symmetric vacuum solutions in generic six-derivative gravity (i.e., without assuming specific relations between the coupling constants). Using modified Schwarzschild coordinates, we systematically classify…

广义相对论与量子宇宙学 · 物理学 2025-07-30 Breno L. Giacchini , Ivan Kolář
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