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We prove under certain weak assumptions a black hole no-hair theorem in spherically symmetric spacetimes for self-gravitating time-dependent multiple scalar fields with an arbitrary target space admitting a Killing field with a non-empty…

广义相对论与量子宇宙学 · 物理学 2024-01-25 Stoytcho Yazadjiev , Daniela Doneva

In this work, we derive rigorous and universal bounds on the geometric characteristics of black holes in asymptotically flat spacetimes under assumptions that weak energy condition is satisfied. We prove that the event horizon radius, the…

广义相对论与量子宇宙学 · 物理学 2026-03-03 Vitalii Vertogradov

In this paper two things are done. First, it is pointed out the existence of exact asymptotically flat, spherically symmetric black holes when a self interacting, minimally coupled scalar field is the source of the energy momentum of the…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Andres Anabalon , Julio Oliva

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

The non-linearly coupled Einstein-matter field equations predict the existence of shadows with well-defined boundaries around black holes. We prove that, in spherically symmetric hairy black-hole spacetimes whose matter fields satisfy the…

广义相对论与量子宇宙学 · 物理学 2026-03-05 Shahar Hod

The known canonical quantum theory of a spherically symmetric pure (Schwarzschild) gravitational system describes isolated black holes by plane waves exp(-iMc^2\tau/\hbar) with respect to their continuous masses M and the proper time \tau…

广义相对论与量子宇宙学 · 物理学 2010-11-19 H. A. Kastrup

We introduce a two-parameter static, nonspherically-symmetric black hole solution in the Einstein theory of gravity coupled with a massless scalar field. The scalar field depends only on the polar coordinate $\theta$ in the spherical…

广义相对论与量子宇宙学 · 物理学 2025-02-21 S. Habib Mazharimousavi

This is the second in a series of two papers to establish the conjectured mass-angular momentum inequality for multiple black holes, modulo the extreme black hole 'no hair theorem'. More precisely it is shown that either there is a…

微分几何 · 数学 2025-01-28 Qing Han , Marcus Khuri , Gilbert Weinstein , Jingang Xiong

We prove that all spherically symmetric static spacetimes which are both regular at r=0 and satisfying the single energy condition rho + p_r + p_t >= 0 cannot contain any black hole region (equivalently, they must satisfy 2m/r <= 1…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Marc Mars , M. M. Martin-Prats , Jose M. M. Senovilla

A static spherically symmetric metric in Einstein-scalar-tensor gravity theory with a scalar field potential $V[\phi]$ is non-singular for all real values of the coordinates. It does not have a black hole event horizon and there is no…

广义相对论与量子宇宙学 · 物理学 2008-06-11 J. W. Moffat

New, simple models of ``black hole interiors'', namely spherically symmetric solutions of the Einstein field equations in matter matching the Schwarzschild vacuum at spacelike hypersurfaces ``R<2M'' are constructed. The models satisfy the…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Giulio Magli

The most general formulation of Penrose's inequality yields a lower bound for ADM mass in terms of the area, charge, and angular momentum of black holes. This inequality is in turn equivalent to an upper and lower bound for the area in…

广义相对论与量子宇宙学 · 物理学 2013-07-31 Sergio Dain , Marcus Khuri , Gilbert Weinstein , Sumio Yamada

We prove under certain assumptions no-hair theorems for non-canonical self-gravitating static multiple scalar fields in spherically symmetric spacetimes. It is shown that the only static, spherically symmetric and asymptotically flat black…

广义相对论与量子宇宙学 · 物理学 2020-11-04 Daniela Doneva , Stoytcho Yazadjiev

Applying Dirac's procedure to $r$-dependent constrained systems, we derive a reduced total Hamiltonian, resembling an upside down harmonic oscillator, which generates the Schwarzschild solution in the mini super-spacetime. Associated with…

广义相对论与量子宇宙学 · 物理学 2014-02-03 Aharon Davidson , Ben Yellin

One-loop renormalised quantum effective action for gravity contains quadratic in curvature terms. We have found an approximate analytic black hole solution in quadratic gravity by keeping only the radial spherically symmetric fluctuations…

广义相对论与量子宇宙学 · 物理学 2021-06-23 Yunho Kim , Archil Kobakhidze

We examine the Wheeler-DeWitt equaton for a static, eternal Schwarzschild black hole in Kucha\v r-Brown variables and obtain its energy eigenstates. Consistent solutions vanish in the exterior of the Kruskal manifold and are non-vanishing…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Cenalo Vaz , Louis Witten

In a space-time with cosmological constant $\Lambda>0$ and matter satisfying the dominant energy condition, the area of a black or white hole cannot exceed $4\pi/\Lambda$. This applies to event horizons where defined, i.e. in an…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Sean A. Hayward , Tetsuya Shiromizu , Ken-ichi Nakao

Space-time is spherically symmetric if it admits the group of SO(3) as a group of isometries,with the group orbits spacelike two-surfaces. These orbits are necessarily two-surface of constant positive curavture. One commonly chooses…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Amir H. Abbassi

We consider the spherically symmetric, asymptotically flat Einstein-Vlasov system. We find explicit conditions on the initial data, with ADM mass M, such that the resulting spacetime has the following properties: there is a family of…

广义相对论与量子宇宙学 · 物理学 2011-01-24 Hakan Andreasson , Markus Kunze , Gerhard Rein

We study 4-dimensional non-charged and charged spherically symmetric spacetimes in conformal teleparallel equivalent of general relativity. We apply the gravitational field equations in non-charged and charged spacetimes to the diagonal and…

广义相对论与量子宇宙学 · 物理学 2018-09-17 G. G. L. Nashed , Kazuharu Bamba
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