scholarly journals Perturbations of the Gravitational Energy in the TEGR: Quasinormal Modes of the Schwarzschild Black Hole

Universe ◽  
2021 ◽  
Vol 7 (4) ◽  
pp. 100
Author(s):  
José Wadih Maluf ◽  
Sérgio Ulhoa ◽  
Fernando Lessa Carneiro ◽  
Karlúcio H. C. Castello-Branco
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Energy Spectrum ◽  
Gravitational Radiation ◽  
Asymptotic Expression ◽  
Quasinormal Modes ◽  
Simple Expression ◽  
Gravitational Energy ◽  
Schwarzschild Black Hole ◽  
Constant Radius

We calculate the gravitational energy spectrum of the perturbations of a Schwarzschild black hole described by quasinormal modes, in the framework of the teleparallel equivalent of general relativity (TEGR). We obtain a general formula for the gravitational energy enclosed by a large surface of constant radius r, in the region m<<r<<∞, where m is the mass of the black hole. Considering the usual asymptotic expression for the perturbed metric components, we arrive at finite values for the energy spectrum. The perturbed energy depends on the two integers n and l that describe the quasinormal modes. In this sense, the energy perturbations are discretized. We also obtain a simple expression for the decrease of the flux of gravitational radiation of the perturbations.

Complex Spacetimes and the Newman-Janis Trick

2021 ◽  
Author(s):  
◽  
Del Rajan
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Mathematical Theory ◽  
Kerr Black Hole ◽  
Complex Variables ◽  
Complex Manifolds ◽  
Schwarzschild Black Hole ◽  
The Subject ◽  
Short Method

<p>In this thesis, we explore the subject of complex spacetimes, in which the mathematical theory of complex manifolds gets modified for application to General Relativity. We will also explore the mysterious Newman-Janis trick, which is an elementary and quite short method to obtain the Kerr black hole from the Schwarzschild black hole through the use of complex variables. This exposition will cover variations of the Newman-Janis trick, partial explanations, as well as original contributions.</p>

CAN WE DIFFERENTIATE NEUTRINOS FROM ANTI-NEUTRINOS IN EVOLUTION OF MASSLESS DIRAC FIELDS IN SCHWARZSCHILD BLACK-HOLE BACKGROUND?

2006 ◽  
Vol 21 (07) ◽  
pp. 593-601
Author(s):  
JILIANG JING
Keyword(s):  
Black Hole ◽  
Decay Rate ◽  
Power Law ◽  
Quasinormal Modes ◽  
Tail Behavior ◽  
Schwarzschild Black Hole ◽  
Dirac Fields ◽  
Black Hole Background ◽  
Opposite Chirality

We study analytically the evolution of massless Dirac fields in the background of the Schwarzschild black hole. It is shown that although the quasinormal frequencies are the same for opposite chirality with the same |k|, we can differentiate neutrinos from anti-neutrinos in evolution of the massless Dirac fields provided we know both stages for the quasinormal modes and the power-law tail behavior since the decay rate of the neutrinos is described by t-(2|k|+1) while anti-neutrinos is t-(2|k|+3).

Gravitational synchrotron radiation in the metric of a new theory of gravitation

1980 ◽  
Vol 58 (11) ◽  
pp. 1595-1598 ◽  
Author(s):  
R. B. Mann ◽  
J. W. Moffat
Keyword(s):  
Black Hole ◽  
Wave Equation ◽  
Synchrotron Radiation ◽  
Gravitational Radiation ◽  
Field Structure ◽  
Astrophysical Object ◽  
Schwarzschild Black Hole ◽  
Null Surface ◽  
Strong Source ◽  
Theory Of Gravitation

The wave equation for a scalar field ψ is solved in the background metric of a new theory of gravity, based on a non-Riemannian field structure with a nonsymmetric Hermitian gμν. In contrast to the solution of the problem in a Schwarzschild background metric, in which only orbits close to r ~ 3M yield significant gravitational radiation, the new metric leads to an effective potential with stable orbits for a substantial range of r. The solution yields ψ = (1 − ℓ4/r4)−1/2ψGR where ℓ is a new integration constant. The null surface r = ℓ determines an astrophysical object called a "deflectar", which for ℓ > 2M conceals the Schwarzschild black-hole event horizon at r = 2M. As r → ℓ the gravitational synchrotron radiation increases to infinity. The actual power output of gravitational radiation for physically allowed stable orbits closest to r = ℓ is estimated, demonstrating that a deflectar is a potentially strong source of gravitational radiation.

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