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Constraints on the geometry of a static spherically symmetric black hole are obtained by requiring the spacetime curvature to be analytic at the event horizon. For a zero temperature black hole further constraints are obtained by also…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paul R. Anderson , Courtney D. Mull

It is shown that the Schwarzschild-de Sitter (SdS) spacetime has the fundamental temperature. This temperature describes the thermal processes of decay of the composite particles and the other processes, which are energetically forbidden in…

General Relativity and Quantum Cosmology · Physics 2023-07-12 G. E. Volovik

The thermodynamics of Schwarzschild black holes within an isothermal cavity and the associated Euclidean Dirichlet boundary-value problem are studied for four and higher dimensions in anti-de Sitter (AdS) space. For such boundary conditions…

High Energy Physics - Theory · Physics 2014-11-18 M. M. Akbar

An important yet perplexing result from work in the 90s and 00s is the near-unity value of the ratio of fluctuations in the vacuum energy density of quantum fields to the mean in a collection of generic spacetimes. This was done by way of…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Hing-Tong Cho , Jen-Tsung Hsiang , Bei-Lok Hu

In Ho\v{r}ava and Einstein-{\AE}ther theories of modified gravity, in spite of the violation of Lorentz invariance, spherically-symmetric stationary black hole solutions possess an inner universal horizon which separates field…

General Relativity and Quantum Cosmology · Physics 2015-07-10 Florent Michel , Renaud Parentani

By using elementary astrophysical concepts, we show that for any self-luminous astrophysical object, the ratio of radiation energy density inside the body (rho_r) and the baryonic energy density (rho_0) may be crudely approximated, in the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Abhas Mitra

The ratio of total mass $M$ to surface radius $R$ of spherical perfect fluid ball has an upper bound, $M/R < B$. Buchdahl obtained $B = 4/9$ under the assumptions; non-increasing mass density in outward direction, and barotropic equation of…

General Relativity and Quantum Cosmology · Physics 2016-06-16 Atsuhito Fujisawa , Hiromi Saida , Chul-Moon Yoo , Yasusada Nambu

The entropy of a Schwarzschild black hole, as computed via the semiclassical Euclidean path integral in a stationary phase approximation, is determined not by the on-shell value of the action (which vanishes), but by the…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Jens Boos

We calculate the quantum radiation power of black holes which are asymptotic to the Einstein-de Sitter universe at spatial and null infinities. We consider two limiting mass accretion scenarios, no accretion and significant accretion. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hiromi Saida , Tomohiro Harada , Hideki Maeda

Unparticle cosmology gives an unconventional outlook on the dark sector of cosmology, increasingly challenging $\Lambda\mbox{CDM}$ by $H_0$-tension. This model derives from a finite temperature broken conformal symmetry of radiation,…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-31 Maurice H. P. M. van Putten , Maryam Aghaei Abchouyeh

We investigate the effects to all orders in the Planck length, from a generalized uncertainty principle, on the thermodynamic parameters of radiating Schwarzschild black holes in a scenario with large extra dimesions. We show that black…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Khireddine Nouicer

We calculate the radial profiles of galaxies where the nuclear region is self-gravitating, consisting of self-interacting dark matter (SIDM) with $F$ degrees of freedom. For sufficiently high density this dark matter becomes collisional,…

Astrophysics of Galaxies · Physics 2016-09-07 Curtis J. Saxton , Ziri Younsi , Kinwah Wu

The Compton wavelength gives the minimum radius within which the mass of a particle may be localized due to quantum effects, while the Schwarzschild radius gives the maximum radius within which the mass of a black hole may be localized due…

General Relativity and Quantum Cosmology · Physics 2016-04-06 Matthew J. Lake , Bernard Carr

Bearing the thermodynamic arguments together with the two definitions of mass in mind, we try to find metrics with spherical symmetry. We consider the adiabatic condition along with the Gong-Wang mass, and evaluate the $g_{rr}$ element…

General Relativity and Quantum Cosmology · Physics 2016-12-23 H. Moradpour , S. Nasirimoghadam

Apparent (radiation) radius of neutron star,R_\infty, depends on the star gravitational mass in quite a different way than the standard coordinate radius in the Schwarzschild metric, R. We show that, for a broad set of equations of state of…

Astrophysics · Physics 2009-11-06 P. Haensel

We study analytically quantum tunneling of relativistic and non-relativistic particles at both Killing and universal horizons of Einstein-Maxwell-aether black holes, after high-order curvature corrections are taken into account, for which…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Chikun Ding , Anzhong Wang , Xinwen Wang , Tao Zhu

We study the mass-charge relation for the semiclassical extremal black hole of the $S$-wave sector Einstein-Maxwell theory coupled to $N$ conformal scalars. The classical ratio $M/{|Q|}=1$ is shown to be modified to $M/{|Q|} \simeq 1-k/6$…

High Energy Physics - Theory · Physics 2010-11-01 Jaemo Park , Piljin Yi

Through the formulation of his law of thermal emission, Kirchhoff conferred upon blackbody radiation the quality of universality [G.Kirchhoff, Annalen der Physik 109, 275 (1860)]. Consequently, modern physics holds that such radiation is…

General Physics · Physics 2007-05-23 Pierre-Marie Robitaille

Does bound entanglement naturally appear in quantum many-body systems? We address this question by showing the existence of bound-entangled thermal states for harmonic oscillator systems consisting of an arbitrary number of particles. By…

Quantum Physics · Physics 2009-11-13 A. Ferraro , D. Cavalcanti , A. Garcia-Saez , A. Acin

We study the situation in which the distribution of temperature a body is due to its interaction with radiation. We consider the boundary value problem for the stationary radiative transfer equation under the assumption of the local…

Analysis of PDEs · Mathematics 2025-06-02 Elena Demattè , Juan J. L. Velázquez