Astronomy 1020 Stellar Astronomy Spring_2016 Day-34
Course Announcements Observing Reports are due: Mon. 4/18 at class time. APSU Research & Creative Activity Forum – Friday 4/15 1-4pm MUC, Ballroom and 3 rd floor meeting rooms FINAL EXAM (and Exam-4): TUESDAY, MAY 3, 1030 LAB MAKE-UP DAY: TUESDAY, Apr. 26 Lenses & Telescopes and Spectrometer ONLY!
If the mass of a neutron star exceeds 3 M , it will collapse into a black hole. Not even light can escape the gravitational pull of a black hole. Can form directly from Type II supernova (if massive enough) or from accretion by a neutron star in a binary system. Makes us question our assumptions about the nature of space and time.
An event describes something that happens at a specific location and specific time. Special relativity describes the relationship between events in space and time. Combines those two aspects into a four- dimensional spacetime. Something that must be analyzed using special relativity is called relativistic. Newton’s laws don’t apply to the universe, but they are not wrong; they are contained in special relativity.
There are many important implications of special relativity. These apply to many areas of physics, including very small scales. Here are five important implications: 1. Mass and energy are the same thing. Matter can be converted into energy and vice versa. Special Relativity
2.The speed of light c is the ultimate speed limit. 3.“At the same time” is relative. Perceived information is dependent on relative motion. Special Relativity
4.Time passes more slowly in a moving reference frame time dilation. 5.An object is shorter in motion than it is at rest length contraction. Special Relativity
Human space travel is currently difficult. Current technology can make ships travel at speeds of 20,000 m/s. Would take over 50,000 years to get to our nearest neighbor star, Proxima Centauri. Moving at high speeds takes a lot of energy.
The general theory of relativity describes how mass distorts the geometry of spacetime. Asks us not to think of gravitation as a force, but rather the result of the shape of spacetime that objects move through. The greater an object’s mass, the more it will bend the spacetime around it.
Special relativity: You can’t tell the difference if you’re in a spaceship at rest or moving at a constant velocity. Both are valid inertial reference frames.
General relativity: You can’t tell the difference between being stationary on Earth and accelerating at 9.8 m/s 2 in a spaceship. Equivalence principle.
An object in spacetime follows the geometry of spacetime as the object moves. Imagine spacetime as a rubber sheet. Path = geodesic (shortest distance between 2 points). Falling objects have curved geodesics.
General Relativity There are many consequences of general relativity. Here are four: 1. Mercury’s orbit is not completely stable— it precesses about 43 arseconds per century.
General Relativity 2.Light will also follow curved space and be bent around massive objects. This gravitational lensing can displace and distort an object’s image.
An Einstein Ring The “8 O'clock Arc”
General Relativity 3.Time runs more slowly near massive objects general relativistic time dilation. Results in gravitational redshift of light coming from near those massive objects.
General Relativity 4.Gravitational waves should move through spacetime like ripples through the rubber sheet. Should move at the speed of light. Have not yet been observed. LIGO (Laser Interferometer Gravitational- Wave Observatory) is looking.
General Relativity A black hole is a singularity—all the matter has collapsed to one point. Infinitely dense. It is a bottomless well in the fabric of spacetime.
General Relativity Once you get too close, no geodesics lead out, not even for light. The boundary of no return is called the event horizon or the Schwarzschild radius.
Event horizon of a 1 M black hole = 3 km. Extreme tidal forces would rip an object or human apart as it fell in. Gravitational time dilation and redshift become infinite.
Black holes should lose energy by Hawking radiation: Virtual particles come into existence near it, and one falls into the black hole while the other becomes real and leaves.