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^Ba4YiKrx);0PUMCwxDXpc*i;ZH_f*k6pk|M_C7`mbhjbu?U zIvIkpKvx9Edz!^o?C9j$6Gj!+YIcSB<&s37Z*Oc + + BLACK HOLES + + + + +

BLACK HOLES

+ + + +












+
+ + + + +

+CONTENTS

+ +
    + +
  1. INTRODUCTION + +
      +
      +
    • WHAT IS A BLACKHOLE??
    • +
      +
    • SAGITTARIUS A*
    • +
      +
    • EVENT HORIZON
    • + +
    + +
  2. + +


    + +
  3. IMPORTANT STATISTICAL DATA REGARDING BLACKHOLES + +
      +
      +
    • STELLAR-MASS
    • +
      +
    • GALACTIC-MASS
    • +
      +
    • NEAREST BLACK HOLES TO SUN AND SOLAR SYSTEM
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+ + + + + +

+What is a Black Hole ?

+ +

+ +A black hole is a region of spacetime where gravity is so strong that nothing—no particles or even electromagnetic radiation such as light—can escape from it. The theory of general relativity predicts that a sufficiently compact mass can deform spacetime to form a black hole. + +

+ +
+ +

+ +The boundary of the region from which no escape is possible is called the event horizon. Although the event horizon has an enormous effect on the fate and circumstances of an object crossing it, according to general relativity it has no locally detectable features. In many ways, a black hole acts like an ideal black body, as it reflects no light. Moreover, quantum field theory in curved spacetime predicts that event horizons emit Hawking radiation, with the same spectrum as a black body of a temperature inversely proportional to its mass. This temperature is on the order of billionths of a kelvin for black holes of stellar mass, making it essentially impossible to observe directly. + +

+ +
+ +

+ +Black holes of stellar mass are expected to form when very massive stars collapse at the end of their life cycle. After a black hole has formed, it can continue to grow by absorbing mass from its surroundings. By absorbing other stars and merging with other black holes, supermassive black holes of millions of solar masses (M) may form. There is consensus that supermassive black holes exist in the centers of most galaxies. + +

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+ +1) Sgr A and two light echoes from a recent explosion

+ +

+ +

+ +2) Magnetar found very close to the supermassive black hole, Sgr A + +

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+Event Horizon

+ +

+ +In astrophysics, an event horizon is a boundary beyond which events cannot affect an observer. The term was coined by Wolfgang Rindler. In 1784, John Michell proposed that in the vicinity of compact massive objects, gravity can be strong enough that even light cannot escape. At that time, the Newtonian theory of gravitation and the so-called corpuscular theory of light were dominant. In these theories, if the escape velocity of an object exceeds the speed of light, then light originating inside or from it can escape temporarily but will return. In 1958, David Finkelstein used General Relativity to introduce a stricter definition of a local black hole event horizon as a boundary beyond which events of any kind cannot affect an outside observer. +

+ +
+ +

+ +In cosmology, the event horizon of the observable universe is the largest comoving distance from which light emitted now can ever reach the observer in the future. This differs from the concept of the particle horizon, which represents the largest comoving distance from which light emitted in the past could reach the observer at a given time. For events that occur beyond that distance, light has not had enough time to reach our location, even if it was emitted at the time the universe began. The evolution of the particle horizon with time depends on the nature of the expansion of the universe. +

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+Singularity

+ +

+ +At the centre of a black hole, as described by general relativity, may lie a gravitational singularity, a region where the spacetime curvature becomes infinite.For a non-rotating black hole, this region takes the shape of a single point; for a rotating black hole it is smeared out to form a ring singularity that lies in the plane of rotation.In both cases, the singular region has zero volume. It can also be shown that the singular region contains all the mass of the black hole solution.The singular region can thus be thought of as having infinite density. +

+ +
+ +

+ +Observers falling into a Schwarzschild black hole (i.e., non-rotating and not charged) cannot avoid being carried into the singularity once they cross the event horizon. They can prolong the experience by accelerating away to slow their descent, but only up to a limit.When they reach the singularity, they are crushed to infinite density and their mass is added to the total of the black hole. Before that happens, they will have been torn apart by the growing tidal forces in a process sometimes referred to as spaghettification or the "noodle effect". +

+ +
+ +

+ +In the case of a charged (Reissner–Nordström) or rotating (Kerr) black hole, it is possible to avoid the singularity. Extending these solutions as far as possible reveals the hypothetical possibility of exiting the black hole into a different spacetime with the black hole acting as a wormhole.The possibility of traveling to another universe is, however, only theoretical since any perturbation would destroy this possibility.It also appears to be possible to follow closed timelike curves (returning to one's own past) around the Kerr singularity, which leads to problems with causality like the grandfather paradox.It is expected that none of these peculiar effects would survive in a proper quantum treatment of rotating and charged black holes. +

+ +
+ +

+ +The appearance of singularities in general relativity is commonly perceived as signaling the breakdown of the theory.[110] This breakdown, however, is expected; it occurs in a situation where quantum effects should describe these actions, due to the extremely high density and therefore particle interactions. To date, it has not been possible to combine quantum and gravitational effects into a single theory, although there exist attempts to formulate such a theory of quantum gravity. It is generally expected that such a theory will not feature any singularities. + +

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+Photon sphere

+ +

+ +The photon sphere is a spherical boundary of zero thickness in which photons that move on tangents to that sphere would be trapped in a circular orbit about the black hole. For non-rotating black holes, the photon sphere has a radius 1.5 times the Schwarzschild radius. Their orbits would be dynamically unstable, hence any small perturbation, such as a particle of infalling matter, would cause an instability that would grow over time, either setting the photon on an outward trajectory causing it to escape the black hole, or on an inward spiral where it would eventually cross the event horizon. +

+ +
+ + +

+ +While light can still escape from the photon sphere, any light that crosses the photon sphere on an inbound trajectory will be captured by the black hole. Hence any light that reaches an outside observer from the photon sphere must have been emitted by objects between the photon sphere and the event horizon.For a Kerr black hole the radius of the photon sphere depends on the spin parameter and on the details of the photon orbit, which can be prograde (the photon rotates in the same sense of the black hole spin) or retrograde. +

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+Ergosphere

+ +

+ +Rotating black holes are surrounded by a region of spacetime in which it is impossible to stand still, called the ergosphere. This is the result of a process known as frame-dragging; general relativity predicts that any rotating mass will tend to slightly "drag" along the spacetime immediately surrounding it. Any object near the rotating mass will tend to start moving in the direction of rotation. For a rotating black hole, this effect is so strong near the event horizon that an object would have to move faster than the speed of light in the opposite direction to just stand still. +

+ +
+ + +

+ + +The ergosphere of a black hole is a volume bounded by the black hole's event horizon and the ergosurface, which coincides with the event horizon at the poles but is at a much greater distance around the equator. + +Objects and radiation can escape normally from the ergosphere. Through the Penrose process, objects can emerge from the ergosphere with more energy than they entered with. The extra energy is taken from the rotational energy of the black hole. Thereby the rotation of the black hole slows down.A variation of the Penrose process in the presence of strong magnetic fields, the Blandford–Znajek process is considered a likely mechanism for the enormous luminosity and relativistic jets of quasars and other active galactic nuclei. +

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+Growth of a black hole

+ +

+ +Once a black hole has formed, it can continue to grow by absorbing additional matter. Any black hole will continually absorb gas and interstellar dust from its surroundings. This growth process is one possible way through which some supermassive black holes may have been formed, although the formation of supermassive black holes is still an open field of research.A similar process has been suggested for the formation of intermediate-mass black holes found in globular clusters. +

+ +
+ +

+ +Black holes can also merge with other objects such as stars or even other black holes. This is thought to have been important, especially in the early growth of supermassive black holes, which could have formed from the aggregation of many smaller objects.The process has also been proposed as the origin of some intermediate-mass black holes. +

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+Detection of gravitational waves from merging black holes

+ + +

+ +On 14 September 2015, the LIGO gravitational wave observatory made the first-ever successful direct observation of gravitational waves.The signal was consistent with theoretical predictions for the gravitational waves produced by the merger of two black holes: one with about 36 solar masses, and the other around 29 solar masses.This observation provides the most concrete evidence for the existence of black holes to date. For instance, the gravitational wave signal suggests that the separation of the two objects before the merger was just 350 km (or roughly four times the Schwarzschild radius corresponding to the inferred masses). The objects must therefore have been extremely compact, leaving black holes as the most plausible interpretation. +

+ +
+ +

+ +More importantly, the signal observed by LIGO also included the start of the post-merger ringdown, the signal produced as the newly formed compact object settles down to a stationary state. Arguably, the ringdown is the most direct way of observing a black hole.From the LIGO signal, it is possible to extract the frequency and damping time of the dominant mode of the ringdown. From these, it is possible to infer the mass and angular momentum of the final object, which match independent predictions from numerical simulations of the merger.The frequency and decay time of the dominant mode are determined by the geometry of the photon sphere. Hence, observation of this mode confirms the presence of a photon sphere; however, it cannot exclude possible exotic alternatives to black holes that are compact enough to have a photon sphere. +

+ +
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+ +The observation also provides the first observational evidence for the existence of stellar-mass black hole binaries. Furthermore, it is the first observational evidence of stellar-mass black holes weighing 25 solar masses or more. Since then, many more gravitational wave events have been observed. +

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+Predicted appearance of a non-rotating black hole with toroidal ring of ionised matter, such as has been proposed as a model for Sagittarius A*. The asymmetry is due to the Doppler effect resulting from the enormous orbital speed needed for centrifugal balance of the powerful gravitational attraction of the hole. +

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Stellar-Mass

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
NameDistance (light years)Mass (solar units)
Cygnus X-1700016
SS 4331600011
Nova Persi 199265005
V404 Cygni800012
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Galactic-Mass

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NameDistance (light years)Mass (solar units)
NGC-205230000090000
Messier-33260000050000
Sgr A270004600000
V404 Messier-31230000045000000
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Nearest Black holes To Sun and Solar System

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
NameMass (solar units)
Cygnus X-116
SS-43311
Nova Monocerotes 197511
Nova Persi 19925
IL Lupi9
V404 Cygni12
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