SHOCK WAVE COSMOLOGY INSIDE A BLACK HOLE: THE CASE OF NON-CRITICAL EXPANSION

2004 ◽  
Vol 01 (03) ◽  
pp. 429-443
Author(s):  
JOEL SMOLLER ◽  
BLAKE TEMPLE
Keyword(s):  
Shock Wave ◽  
Black Hole ◽  
Equation Of State ◽  
Closed System ◽  
Big Bang ◽  
Speed Of Light ◽  
State Formula ◽  
The Big Bang

We derive and analyze the equations that extend the results in [20,21] to the case of non-critical expansion k≠0. By an asymptotic argument we show that the equation of state [Formula: see text] plays the same distinguished role in the analysis when k≠0 as it does when k=0: only for this equation of state does the shock emerge from the Big Bang at a finite nonzero speed — the speed of light. We also obtain a simple closed system that extends the case [Formula: see text] considered in [20,21] to the case of a general positive, increasing, convex equation of state p=p(ρ).

Gravitational collapse of dust fluid and dark energy in the presence of curvature: Black hole formation

2019 ◽  
Vol 34 (29) ◽  
pp. 1950240 ◽  
Author(s):  
Syed Zaheer Abbas ◽  
Hasrat Hussain Shah ◽  
Huafei Sun ◽  
Farook Rahaman ◽  
Faizuddin Ahmed
Keyword(s):  
Black Hole ◽  
Dark Energy ◽  
Equation Of State ◽  
Gravitational Collapse ◽  
Dust Cloud ◽  
Curvature Effect ◽  
Hole Formation ◽  
Black Hole Formation ◽  
State Formula ◽  
Dust Fluid

Study of gravitational collapse and black hole formation has got much interest in recent years after gravitational waves detection from mergers of black hole binaries. Here, we studied the gravitational collapse of a spherically symmetric clump of matter, constituted of dust fluid, [Formula: see text], in a background of dark energy, [Formula: see text]. We investigate the curvature effect [Formula: see text] on the gravitational collapsing process. Gravitational collapsing process for two different cases is discussed i.e. collapse of dust cloud only and collapse of dark energy. We used equation of state [Formula: see text], [Formula: see text]. For dark energy case, we discuss the collapsing process and curvature effect for different parameter values of equation of state.

scholarly journals Supermassive black holes in the early Universe

2015 ◽  
Vol 471 (2184) ◽  
pp. 20150449 ◽  
Author(s):  
F. Melia ◽  
T. M. McClintock
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Accretion Rate ◽  
Big Bang ◽  
Supermassive Black Holes ◽  
Active Mass ◽  
Time Compression ◽  
First And Second Generation ◽  
The Big Bang ◽  
Friedmann Robertson Walker

The recent discovery of the ultraluminous quasar SDSS J010013.02+280225.8 at redshift 6.3 has exacerbated the time compression problem implied by the appearance of supermassive black holes only approximately 900 Myr after the big bang, and only approximately 500 Myr beyond the formation of Pop II and III stars. Aside from heralding the onset of cosmic re-ionization, these first and second generation stars could have reasonably produced the approximately 5–20  M ⊙ seeds that eventually grew into z approximately 6–7 quasars. But this process would have taken approximately 900 Myr, a timeline that appears to be at odds with the predictions of Λ CDM without an anomalously high accretion rate, or some exotic creation of approximately 10 5   M ⊙ seeds. There is no evidence of either of these happening in the local Universe. In this paper, we show that a much simpler, more elegant solution to the supermassive black hole anomaly is instead to view this process using the age–redshift relation predicted by the R h = ct Universe, an Friedmann–Robertson–Walker (FRW) cosmology with zero active mass. In this context, cosmic re-ionization lasted from t approximately 883 Myr to approximately 2 Gyr ( 6 ≲ z ≲ 15 ), so approximately 5–20  M ⊙ black hole seeds formed shortly after re-ionization had begun, would have evolved into approximately 10 10   M ⊙ quasars by z approximately 6–7 simply via the standard Eddington-limited accretion rate. The consistency of these observations with the age–redshift relationship predicted by R h = ct supports the existence of dark energy; but not in the form of a cosmological constant.

scholarly journals Physics Essay: Six Baseless and Irrational Problems in Modern Cosmology

2015 ◽  
Vol 7 (6) ◽  
pp. 56
Author(s):  
Zifeng Li
Keyword(s):  
Black Hole ◽  
Dimensional Space ◽  
Big Bang ◽  
Mass Energy ◽  
Curved Space ◽  
Big Bang Theory ◽  
Modern Cosmology ◽  
Hubble’S Law ◽  
The Big Bang ◽  
The Universe

<p class="1Body">Analyzes the Big Bang theory, recession of galaxies, Hubble's law, multi-dimensional space, curved space and black hole in modern cosmology and points out that these six theories are all baseless and irrational, contrary to classical science. Promotes the use of plain view of the universe - the materialist view of space–time-mass-energy to study the universe. The observations and understanding of the universe are very limited now. Cosmology should be realistic, not based on irrational models.</p>

scholarly journals Pre-Big-Bang Black-Hole Remnants and Past Low Entropy

Universe ◽  
2018 ◽  
Vol 4 (11) ◽  
pp. 129 ◽  
Author(s):  
Carlo Rovelli ◽  
Francesca Vidotto
Keyword(s):  
Black Hole ◽  
Dark Matter ◽  
Big Bang ◽  
The State ◽  
Arrow Of Time ◽  
Bouncing Cosmology ◽  
Hypothetical Scenario ◽  
The Big Bang ◽  
Low Entropy

Dark matter could be composed by black-hole remnants formed before the big-bang era in a bouncing cosmology. This hypothetical scenario has implications on the issue of the arrow of time: it upsets a common attribution of past low entropy to the state of the geometry and suggests a possible realisation of the perspectival interpretation of past low entropy.

Time and the Law: International Perspectives on an Old Problem

1997 ◽  
Vol 46 (3) ◽  
pp. 501-520 ◽  
Author(s):  
Rosalyn Higgins
Keyword(s):  
Physical World ◽  
Big Bang ◽  
Speed Of Light ◽  
Objective Reality ◽  
The Real ◽  
International Perspectives ◽  
The Law ◽  
The Big Bang ◽  
The Relationship

I begin by confessing a general fascination with the concept of time. I puzzle endlessly over the relationship between time and matter, and the insistence of scientists that before the Big Bang time did not exist. I grapple with the relationship between time and speed, and the fact that if we could travel at the speed of light time would not move. I seek to grasp Stephen Hawking's recent conversion to the view that, in the physical world, time may yet run in reverse. I am intrigued that our concepts of time came to Australia only with the First Fleet, for aboriginal time was cyclical rather than linear. Events could recur, dead people could live again. I find exhilarating the idea that we see at this moment, through our telescopes, stars that no longer exist. I love the objective reality of the equator and the total artificiality of the meridian, and the intention that this felicitous fiction is the place for us to see in the “real beginning” of the next century.

scholarly journals J1342+0928 supports the timeline in the Rh = ct cosmology

2018 ◽  
Vol 615 ◽  
pp. A113 ◽  
Author(s):  
Fulvio Melia
Keyword(s):  
Black Hole ◽  
Dark Matter ◽  
Cold Dark Matter ◽  
Big Bang ◽  
High Mass ◽  
Local Universe ◽  
Time Compression ◽  
The Standard Model ◽  
Accretion Rates ◽  
The Big Bang

Aims. The discovery of quasar J1342+0928 (z = 7.54) reinforces the time compression problem associated with the premature formation of structure in Λ cold dark matter (ΛCDM). Adopting the Planck parameters, we see this quasar barely 690 Myr after the big bang, no more than several hundred Myr after the transition from Pop III to Pop II star formation. Yet conventional astrophysics would tell us that a 10 M⊙ seed, created by a Pop II/III supernova, should have taken at least 820 Myr to grow via Eddington-limited accretion. This failure by ΛCDM constitutes one of its most serious challenges, requiring exotic “fixes”, such as anomalously high accretion rates, or the creation of enormously massive (~ 105 M⊙) seeds, neither of which is ever seen in the local Universe, or anywhere else for that matter. Indeed, to emphasize this point, J1342+0928 is seen to be accreting at about the Eddington rate, negating any attempt at explaining its unusually high mass due to such exotic means. In this paper, we aim to demonstrate that the discovery of this quasar instead strongly confirms the cosmological timeline predicted by the Rh = ct Universe. Methods. We assume conventional Eddington-limited accretion and the time versus redshift relation in this model to calculate when a seed needed to start growing as a function of its mass in order to reach the observed mass of J1342+0928 at z = 7.54. Results. Contrary to the tension created in the standard model by the appearance of this massive quasar so early in its history, we find that in the Rh = ct cosmology, a 10 M⊙ seed at z ~ 15 (the start of the Epoch of Reionization at t ~ 878 Myr) would have easily grown into an 8 × 108 M⊙ black hole at z = 7.54 (t ~ 1.65 Gyr) via conventional Eddington-limited accretion.

scholarly journals Origins of Stellar Mass Neutron Black Holes, Supermassive Dark Matter Black Holes and Universe Evolution

2021 ◽  
Author(s):  
Jae-Kwang Hwang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Dark Matter ◽  
Big Bang ◽  
Stellar Mass ◽  
Intermediate Mass ◽  
Milky Way Galaxy ◽  
Dark Matters ◽  
The Big Bang ◽  
Universe Evolution

The origins of the stellar mass neutron black holes and supermassive dark matter black holes without the singularities are reported based on the 4-D Euclidean space. The neutron black holes with the mass of mBH = 5 &ndash; 15 msun are made by the 6-quark merged states (N6q) of two neutrons with the mass (m(N6q) = 10 m(n)) of 9.4 GeV/c2 that gives the black hole mass gap of mBH = 3 &ndash; 5 msun. Also, the supermassive black holes with the mass of mSMBH = 106 &ndash; 1011 msun are made by the merged 3-D states (J(B1B2B3)3 particles) of the dark matters. The supermassive black hole at the center of the Milky way galaxy has the mass of mSMBH = 4.1 106 msun that is consistent with mSMBH = 2.08 - 6.23 106 msun calculated from the 3-D states (J(B1B2B3)3 particles) of the dark matters with the mass of m(J) = 1.95 1015 eV/c2. In other words, this supports the existence of the B1, B2 and B3 dark matters with the proposed masses. The first dark matter black hole (primary black hole) was created at the big bang. This first dark matter black hole decayed to the supermassive dark matter black holes through the secondary dark matter black holes that are explained by the merged states of the J(B1B2B3)3 particles. The universe evolution is closely connected to the decaying process of the dark matter black holes since the big bang. The dark matter cloud states are proposed at the intermediate mass black hole range of mIMBH = 102 &ndash; 105 msun. This can explain why the dark matter black holes are not observed at the intermediate mass black hole range of mIMBH = 102 &ndash; 105 msun.

scholarly journals Building a linear equation-of-state for trapped gravitons from finite size effects and the Schwarzschild black hole case

2018 ◽  
Vol 27 (05) ◽  
pp. 1850061 ◽  
Author(s):  
Stefano Viaggiu
Keyword(s):  
Black Hole ◽  
Equation Of State ◽  
Linear Equation ◽  
Internal Energy ◽  
Size Effects ◽  
Finite Size ◽  
Schwarzschild Black Hole ◽  
Finite Size Effects ◽  
State Formula ◽  
Energy Formula

In this paper, we continue the investigations present in [S. Viaggiu, Physica A 473 (2017) 412; 488 (2017) 72.] concerning the spectrum of trapped gravitons in a spherical box, and in particular, inside a Schwarzschild black hole (BH). We explore the possibility that, due to finite size effects, the frequency of the radiation made of trapped gravitons can be modified in such a way that a linear equation-of-state [Formula: see text] for the pressure [Formula: see text] and the internal energy [Formula: see text] arises. Firstly, we study the case with [Formula: see text], where only fluids with [Formula: see text] are possible. If corrections [Formula: see text] are added to [Formula: see text], for [Formula: see text], we found no limitation on the allowed value for the areal radius of the trapped sphere [Formula: see text]. Moreover, for [Formula: see text], we have a minimum allowed value for [Formula: see text] of the order of the Planck length [Formula: see text]. Conversely, a fluid with [Formula: see text] can be obtained but with a maximum allowed value for [Formula: see text]. With the added term looking like [Formula: see text] to the BH internal energy [Formula: see text], the well-known logarithmic corrections to the BH entropy naturally emerge for any linear equation-of-state. The results of this paper suggest that finite size effects could modify the structure of graviton’s radiation inside, showing a possible mechanism to transform radiation into dark energy.

scholarly journals Cosmological solutions and finite time singularities in Finslerian geometry

2018 ◽  
Vol 33 (07n08) ◽  
pp. 1850046 ◽  
Author(s):  
Nupur Paul ◽  
S. S. De ◽  
Farook Rahaman
Keyword(s):  
Equation Of State ◽  
Finite Time ◽  
Big Bang ◽  
Momentum Tensor ◽  
Energy Conditions ◽  
Late Time ◽  
Field Equations ◽  
Spacetime Manifold ◽  
Barotropic Equation ◽  
State Formula

We consider a very general scenario of our universe where its geometry is characterized by the Finslerian structure on the underlying spacetime manifold, a generalization of the Riemannian geometry. Now considering a general energy–momentum tensor for matter sector, we derive the gravitational field equations in such spacetime. Further, to depict the cosmological dynamics in such spacetime proposing an interesting equation of state identified by a sole parameter [Formula: see text] which for isotropic limit is simply the barotropic equation of state [Formula: see text] ([Formula: see text] being the barotropic index), we solve the background dynamics. The dynamics offers several possibilities depending on this sole parameter as follows: (i) only an exponential expansion, or (ii) a finite time past singularity (big bang) with late accelerating phase, or (iii) a nonsingular universe exhibiting an accelerating scenario at late time which finally predicts a big rip type singularity. We also discuss several energy conditions and the possibility of cosmic bounce. Finally, we establish the first law of thermodynamics in such spacetime.

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