scholarly journals General Relativistic Collapse to Black Holes and Gravitational Waves from Black Holes

1987 ◽  
Vol 90 ◽  
pp. 1-218 ◽  
Author(s):  
Takashi Nakamura ◽  
Kenichi Oohara ◽  
Yasufumi Kojima
Keyword(s):  
Black Holes ◽  
Gravitational Waves ◽  
General Relativistic ◽  
Relativistic Collapse

Beyond the Schwarzschild Metric

2018 ◽  
Author(s):  
David M. Wittman
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Gravitational Waves ◽  
Test Particle ◽  
Direct Detection ◽  
Relativistic Effects ◽  
Big Bang ◽  
Clusters Of Galaxies ◽  
General Relativistic ◽  
The Universe

General relativity explains much more than the spacetime around static spherical masses.We briefly assess general relativity in the larger context of physical theories, then explore various general relativistic effects that have no Newtonian analog. First, source massmotion gives rise to gravitomagnetic effects on test particles.These effects also depend on the velocity of the test particle, which has substantial implications for orbits around black holes to be further explored in Chapter 20. Second, any changes in the sourcemass ripple outward as gravitational waves, and we tell the century‐long story from the prediction of gravitational waves to their first direct detection in 2015. Third, the deflection of light by galaxies and clusters of galaxies allows us to map the amount and distribution of mass in the universe in astonishing detail. Finally, general relativity enables modeling the universe as a whole, and we explore the resulting Big Bang cosmology.

scholarly journals General Relativistic Collapse of an Axially Symmetric Star Leading to the Formation of Neutron Stars and Black Holes

1981 ◽  
Vol 93 ◽  
pp. 326-326 ◽  
Author(s):  
Takashi Nakamura ◽  
Kei-Ichi Maeda ◽  
Shoken Miyama ◽  
Misao Sasaki
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Density Distribution ◽  
Mass Density ◽  
Apparent Horizon ◽  
List Type ◽  
Metric Tensor ◽  
Proper Mass ◽  
General Relativistic ◽  
Relativistic Collapse

Using the [(2+1)+1]-dimensional representation of the Einstein equations, we have computed the general relativistic collapse of a rotating star. We adopt the cylindrical coordinate. The system is assumed to be axially and plane symmetric. The number of meshes is 28×28 in R and Z direction. The equation of state is P=1/3ρε for ρ< ρ*≡3×1014 g/cm3 and P=(ρ-ρ*)ε+1/3ρ*ε for We use the following initial conditions; ρ∝exp(-(R2+Z2)/λ), Ω∝exp(-R2/λ) where Ω and λ are angular velocity and a size parameter, respectively. We have calculated three models; (1)Model 1 M=10M⊙, ρc=3×1013g/cm3, α=0.20, β=0.05.(2)Model 2 M=10M⊙, ρc=3×1013g/cm3, α=0.20, β=0.12.(3)Model 3 M=10M⊙, ρc=3×1013g/cm3, α=0.20, β=0.22. where α=Eint/|Egrav| and β=Erot/|Egrav|. In all models, an apparent horizon was formed, that is, a black hole was formed. In Model 1, the final density distribution is oblate shape. In Model 2, there is a ringlike peak of the proper mass density distribution at the final stage. In Model 3, the determinant of the metric tensor goes to nearly zero at the ring in the equatorial plane, so that the proper mass density shows strong ringlike peak which is inside the apparent horizon. As the curvature invariant made from the Riemann tensor becomes very large at this ring, this may be a ring singularity of the space-time. These rotating black holes look like the Kerr black hole.

scholarly journals Black holes and gravitational waves sourced by non-linear duality rotation-invariant conformal electromagnetic matter

2021 ◽  
Vol 812 ◽  
pp. 136011
Author(s):  
Daniel Flores-Alfonso ◽  
Blanca Angélica González-Morales ◽  
Román Linares ◽  
Marco Maceda
Keyword(s):  
Black Holes ◽  
Gravitational Waves ◽  
Rotation Invariant ◽  
Non Linear

scholarly journals Probing planetary-mass primordial black holes with continuous gravitational waves

2021 ◽  
pp. 100836
Author(s):  
Andrew L. Miller ◽  
Sébastien Clesse ◽  
Federico De Lillo ◽  
Giacomo Bruno ◽  
Antoine Depasse ◽  
...  
Keyword(s):  
Black Holes ◽  
Gravitational Waves ◽  
Primordial Black Holes ◽  
Planetary Mass

On Primordial Black Holes and secondary gravitational waves generated from inflation with solo/multi-bumpy potential

2021 ◽  
Author(s):  
Rui feng Zheng ◽  
Jia ming Shi ◽  
Taotao Qiu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gravitational Waves ◽  
Power Spectra ◽  
Small Scale ◽  
Primordial Black Hole ◽  
Primordial Black Holes ◽  
Slow Roll ◽  
Spherical Collapse ◽  
Scalar Perturbations

Abstract It is well known that primordial black hole (PBH) can be generated in inflation process of the early universe, especially when the inflaton field has some non-trivial features that could break the slow-roll condition. In this paper, we investigate a toy model of inflation with bumpy potential, which has one or several bumps. We found that potential with multi-bump can give rise to power spectra with multi peaks in small-scale region, which can in turn predict the generation of primordial black holes in various mass ranges. We also consider the two possibilities of PBH formation by spherical collapse and elliptical collapse. And discusses the scalar-induced gravitational waves (SIGWs) generated by the second-order scalar perturbations.

Tidal deformation of quantum black holes

2021 ◽  
pp. 2142011
Author(s):  
Ram Brustein ◽  
Yotam Sherf
Keyword(s):  
Black Holes ◽  
Perturbation Theory ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Excited Level ◽  
Love Number ◽  
Standard Time ◽  
Love Numbers ◽  
Classical Black Holes ◽  
Quantum Perturbation Theory

The response of a gravitating object to an external tidal field is encoded in its Love numbers, which identically vanish for classical black holes (BHs). Here we show, using standard time-independent quantum perturbation theory, that for a quantum BH, generically, the Love numbers are nonvanishing and negative. We calculate the quadrupolar electric quantum Love number of slowly rotating BHs and show that it depends most strongly on the first excited level of the quantum BH. Finally, we discuss the detectability of the quadrupolar quantum Love number in future precision gravitational-wave observations and show that, under favourable circumstances, its magnitude is large enough to imprint an observable signature on the gravitational waves emitted during the inspiral. Phase of two moderately spinning BHs.

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