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In all 2d theories of gravity a conservation law connects the (space-time dependent) mass aspect function at all times and all radii with an integral of the matter fields. It depends on an arbitrary constant which may be interpreted as…

General Relativity and Quantum Cosmology · Physics 2014-11-17 D. Grumiller , W. Kummer

Generalized definitions for angular and linear momentum are given and shown to reduce to the ADM (at spatial infinity) definitions and the definitions at null infinity in the appropriate limit. These definitions are used to express angular…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Anthony Rizzi

In a previous work, we constructed a positive-definite total energy functional for the axially symmetric linear perturbative theory of Kerr black hole spacetimes. That work is based on the dimensional reduction of dynamical axisymmetric…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Nishanth Gudapati

The Hamiltonian formulation of the teleparallel equivalent of general relativity without gauge fixing has recently been established in terms of the Hamiltonian constraint and a set of six primary constraints. Altogether, they constitute a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Maluf , J. F. da Rocha-Neto , T. M. Toribio , K. H. Castello-Branco

The first objective of this work is to obtain practical prescriptions to calculate the absorption of mass and angular momentum by a black hole when external processes produce gravitational radiation. These prescriptions are formulated in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Eric Poisson

We study the energy-momentum characteristics of the rotating black hole - Kerr solution of general relativity in the Teleparallel Equivalent of General Relativity (TEGR) and the Symmetric Teleparallel Equivalent of General Relativity…

General Physics · Physics 2026-01-26 E. D. Emtsova , A. N. Petrov , A. V. Toporensky

We prove the Penrose inequality with angular momentum for asymptotically flat, axisymmetric vacuum initial data sets containing a stable marginally outer trapped surface. This inequality provides a lower bound for the ADM mass in terms of…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Da Xu

In this paper we consider a metric of a rotating black hole in conformal gravity. We calculate the thermodynamical quantities for this rotating black hole including Hawking temperature and entropy in four dimensional space-time, as we…

General Relativity and Quantum Cosmology · Physics 2024-04-23 Negin Kamvar , Reza Saffari , Saheb Soroushfar

The covariant canonical expression for the conserved charges, proposed by Nester, is tested on several solutions in 3D gravity with or without torsion and topologically massive gravity. In each of these cases, the calculated values of…

General Relativity and Quantum Cosmology · Physics 2010-06-11 M. Blagojević , B. Cvetković

It is customary to assume that the law of conservation of the angular momentum is violated for an asymmetric energy-momentum tensors. This is the reason for criticizing the Minkowski tensor and other asymmetric energy-momentum tensors. In…

Classical Physics · Physics 2017-08-16 Yurii A. Spirichev

Classical black holes and event horizons are highly non-local objects, defined in terms of the causal past of future null infinity. Alternative, (quasi)local definitions are often used in mathematical, quantum, and numerical relativity.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ivan Booth , Stephen Fairhurst

We investigate conserved charges in the low-energy effective field theory describing heterotic string theory. Starting with a general Lagrangian that consists of a metric, a scalar field, a vector gauge field, together with a two-form…

General Relativity and Quantum Cosmology · Physics 2016-04-25 Jun-Jin Peng

We present a general sufficient condition for the formation of black holes due to concentration of angular momentum. This is expressed in the form of a universal inequality, relating the size and angular momentum of bodies, and is proven in…

General Relativity and Quantum Cosmology · Physics 2015-07-08 Marcus A. Khuri

We propose a simple and unambiguous way to deduce the parameters of black holes which may reside in AGNs and some types of X-ray binaries. The black-hole mass and angular momentum are determined in physical units. The method is applicable…

Astrophysics · Physics 2015-06-24 O. Semerak , F. de Felice , V. Karas

We apply the Wald formalism to obtain masses and angular momenta of black holes in three dimensional gravity theories using the first order formalism. Wald formalism suggests that the entropy of a black hole can be defined by an integration…

High Energy Physics - Theory · Physics 2018-07-06 Soonkeon Nam , Jong-Dae Park

Following a prior paper, we review the results for the energy and angular momentum of a Kerr-Newman black hole, and then calculate the same properties for the case of a generalised rotating dilaton of the type derived, without rotation, by…

General Physics · Physics 2012-11-08 Marcelo Samuel Berman

For a black hole of Schwarzschild radius $a$, we argue that the back-reaction of the vacuum energy-momentum tensor is in general important at the apparent horizon when the time scale of a process is larger than order $a$. In particular, in…

High Energy Physics - Theory · Physics 2019-06-07 Pei-Ming Ho , Yoshinori Matsuo , Shu-Jung Yang

Matter loses its original characteristics after entering a black hole, thus becoming a new kind of (black hole) matter. The property of this new matter cannot be measured experimentally, but some of it can be deduced theoretically from the…

General Relativity and Quantum Cosmology · Physics 2024-01-22 C. S. Lam

By exploiting the mathematical analogy between the propagation of sound in a non-homogeneous potential flow and the propagation of a scalar field in a background gravitational field, various wave ``energy'' and wave ``momentum''…

Condensed Matter · Physics 2008-12-18 Michael Stone

The putative black holes which may constitute all the dark matter are described by a Kerr metric with only two parameters, mass M and angular momentum J. There has been little discussion of J since it plays no role in the upcoming attempt…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Paul H. Frampton