Einstein, Black Holes and Gravity Waves, oh my! Society of Physics Students Lecture Einstein, Black Holes and Gravity Waves, oh my! Prof. David Toback Texas A&M University Mitchell Institute for Fundamental Physics and Astronomy February 2016

Outline Quick overview of what happened Backtrack and learn some of the physics, especially General Relativity Gravity, Black holes and Gravity waves Back to the discovery of Gravity Waves Why it’s important in many ways, and why it’s not that new in others

50 Word Summary About a billion years ago, two 30MSun black holes spiraled in together to create a 60MSun black hole This merger was so violent that it emitted a huge amount of gravity waves over a short amount of time that were recently discovered here on Earth by the LIGO experiment Note: This is NOT the discovery of the century (IMHO), it is the discovery that took a century Although it IS pretty awesome

2nd year Grad School Course Einstein in the 1910’s In the early 1910’s Einstein was thinking about some recent experimental results that didn’t make any sense to him using Newton’s theories Decided we need new ways of thinking about space, time and Gravity Einstein says that Newton’s Laws aren’t really quite right… Einstein’s theory is known as the “General Theory of Relativity” 2nd year Grad School Course

This is a VERY different way of thinking about things… Newton vs. Einstein Newton: The Earth moves around the Sun because of “the force of gravity” is pulling it Einstein: There is no “force” of Gravity, the Earth moves in a “straight line” around the Sun in the curved space-time created by the Sun This is a VERY different way of thinking about things…

1st floor of the Mitchell Physics building (MPHY) Curved Space? An analogy is to think of curved space-time as looking like one of those gravity wells you’ve seen downstairs 1st floor of the Mitchell Physics building (MPHY)

Another Weird Thing: Mass Curves Space-Time Think of each of the heavy things in the universe (stars, planets etc.) like a ball in the middle of a taut rubber sheet that represents space-time The weight of the ball will make it sink into the rubber sheet, creating a cone shaped dent around it

The heavier the ball, the bigger the dent in space-time! Mass Curves Space The heavier the ball, the bigger the dent in space-time!

Mass in curved space-time A mass moves in a “straight line” in curved space-time In this example, this straight line in curved space-time makes the path of the small ball look like something is pushing it toward the big ball in 3-dimensions

The Earth and the Sun Newton: The Earth moves around the Sun because of “the force of gravity” is pulling it Einstein: There is no force, the Earth moves in a straight line in four dimensions, but the curved space around the Sun makes it go in an orbit in the three space dimensions

The way the Planets go Around the Sun in General Relativity

From Curved Space Time to Gravity Waves If I have a star, or black hole, just sitting in space then other things know where it is because of the curvature of space-time If its just sitting there (or moving with a constant velocity) space-time isn’t changing If it accelerates, then this information is passed through space-time at the speed of light as gravity waves Similar to if an electric charge was accelerated, or if I dropped a rock in water (or dragged my finger through it).

First Indirect Evidence of Gravity Waves In 1974, Taylor and Hulse discovered two neutron stars (one of which was a Pulsar which is VERY bright) orbiting each other They measured the period (how fast they orbit) and saw that they were CLEARLY slowing down Why were they losing energy? They were emitting gravity waves exactly as predicted by General Relativity Nobel Prize 1993 Been looking for DIRECT detection ever since

Two Black Holes Colliding/ Gravity Waves What it would Look Like if you could see it (note the gravitational lensing) https://www.youtube.com/watch?v=I_88S8DWbcU From the Warp of Space-Time Point of view https://www.youtube.com/watch?v=qfdygf0TL2U

Gravity Waves Moving Through Space A good set of short clips that help tell the story, including how the gravity waves got to us and how they were detected https://www.youtube.com/watch?v=FlDtXIBrAYE

What the Data Looked Like Ripples In Space-Time that reached us from two ~30MSun Black Holes as they spiral into each other about a billion light-years away

Conclusion The first direct observation of gravity waves is very exciting, and many years in the making This allows us to see things we’ve never seen before that don’t produce light Lots of fun questions still remain to be answered How often does this happen in the universe? Where did 30 solar mass black holes COME FROM? What other new and exciting things will come from this powerful new technology? Enjoy!

Interested in learning more? Physics department offers a course entitled “Big Bang & Black Holes” (ASTR/PHYS 109) Covers Stephen Hawking’s “Brief History of Time” Origin and Evolution of the Universe How do stars form? What is Dark Matter? Dark Energy? What are Black Holes? More on General Relativity, Quantum Mechanics and Particle Physics Has a lab (if you want) There is an option to take is an Honors class http://people.physics.tamu.edu/toback/109/

End of Lecture

Why Gravity Next? By looking at photons/light we can learn about things here on Earth as well as about inner/outer space What else do we need to describe/understand the Universe? Quantum Mechanics and Gravity To understand the answer to these questions we need to learn more

The Two Great Theories General Relativity: (Gravity) Predictions about the very large, from sizes of a few meters to the size of the universe (1024 miles across) Quantum Mechanics: Predictions about the very small (atoms, particles,<10-10 m) Chapter 6 Chapter 7

Overview of Gravity for the Course What’s so important about Gravity? Newton’s Theory of Gravity Einstein’s more-correct version Curved Space-Time, and evidence for it with Dark Matter

Gravity: Why do we care? Gravity: The great attraction in the Universe Gravity is the theory that predicts the attraction and the motion of BIG things over large distances: Planets Suns Galaxies How Galaxies form etc.

Newton and Gravity Physics 201 or 218 Everything moves in a straight line unless acted upon by a force Gravity is a force Every object in the universe attracts every other object in the universe The further the distance between the objects, the smaller the attraction The bigger the mass, the bigger the attraction Light is massless  not affected by gravity Physics 201 or 218

Large Number of Scales Kinda amazing! Gravity covers the attraction between An apple near the Earth The Earth and the Moon The Earth and the Sun The Sun and our galaxy Our galaxy and the universe Every particle in the universe and an apple The Earth and you Bevo and Reveille

Gravity continued… The force of Gravity makes the Moon “fall” towards the Earth  Call this an orbit Does a great job of explaining how the planets move around the Sun Without gravity, the Moon would fly off into space and ignore the Earth completely

What’s next? Tell you the different, and surprising, way that Einstein describes space, time and gravity Then tell why his description of why the Earth goes around the Sun is better than Newton’s

Light *ALWAYS* moves at the speed of light to all observers Observational Fact Light *ALWAYS* moves at the speed of light to all observers So what?

What happens if I’m driving a car moving at half the speed of light and I turn the headlights on?

Two observers get different answers The light is one foot ahead of that car! The light is two feet ahead of me!

Einstein’s Answer Einstein says both observers are correct Space and Time are more related than we thought

Start with Space-Time Can’t think of Space and Time as separate Space (measured with a ruler) Time (measured with a clock)  Single combined entity which we call four dimensional space-time If the four dimensions are related, unexpected things that we’re not used to can happen

Need to talk about what we mean by Curved Space-Time Other Weirdness Space and time are not only more related than we thought, Space can Curve Need to talk about what we mean by Curved Space-Time

We’ll start by using the strange “new” words of General Relativity in an example about why we care, and THEN explain them a bit more Space-Time and Gravity

Moving in Curved Space: Analogy Let’s say my friend and I are at the equator and we both start working due North Exactly parallel to each other We will notice that we “mysteriously” are getting closer to each other, and will eventually bump into each other Is there a Force drawing us together? No… moving in curved space time LOOKS like a force The rules of geometry are different in curved space http://en.wikipedia.org/wiki/Parallel_(geometry)

Ok… Both Newton and Einstein correctly predict how the planets go around the Sun Actually mostly their predictions for the locations of the planets at any given time are almost identical How do we decide if one is right and one is wrong? Do an experiment where the predictions from the two competing theory's are very different!!!

When do General Relativity and Newton predict different things? Ok… One equation, but I’m guessing you’ve heard this one E=MC2 Ok… what is this equation saying? Energy and mass may not be the same, but in Einstein’s theory they are equivalent

It has energy, but no mass So what? What about light? It has energy, but no mass To Einstein, its mass doesn’t matter, it is a particle that moves in curved space-time

What happens to light as it goes past the Sun? Path doesn’t curve Path does curve Newton’s theory: Only things with “real” mass “feel” the force of gravity General Relativity: Objects move according to the curve of space-time, regardless of whether they have mass or not

Do an Experiment 1st Experiment: Can see the star directly Looks like its over here! 2nd Experiment: Sun in the way If Einstein is right, the Sun curves the path of the starlight If Newton is right, we won’t see the star Question: Where does the star appear when you do the experiment? Gross exaggeration of sizes

The Great Experiment of 1915 Look at a star’s position “behind” the sun as it “passes” in between us and the star during an eclipse to block the glare of the sunlight

Another View

Evidence and More Evidence The results exactly agreed with Einstein’s predictions Contradict the predictions of Newton Over time, even more compelling evidence has come in in favor of General Relativity  observations of Dark Matter in galaxies Next give some of the evidence for dark matter and that the story hangs together

Evidence galaxies contain Dark Matter Described the Dark Matter in the Universe and in galaxies in Chapter 2 In order to better understand dark matter in galaxies, its useful to show some evidence that there IS Dark Matter in galaxies Start by considering the case that there IS no Dark Matter in galaxies

How stars move in galaxies Laws of gravity accurately predict the orbits of planets and stars as they move around the solar system and galaxy The brightest region of both places is the center  lots of mass there For the solar system, the data agree perfectly, but for the outer part of galaxies it should look like stars in orbit around a massive center Problem: This isn’t what the data shows

The Data

Does this work for Stars? Watch how fast a star rotates around the center of the galaxy… Simulation without Dark Matter Simulation with lots of Dark Matter particles in the galaxy Data looks like this http://bigbang.physics.tamu.edu/Figures/StolenAnimations/galrot_anim.gif

Data well explained by lots of “Dark Matter” we can’t see This is where it gets its name In some sense, the name is a statement of almost all we know about it (it doesn’t interact with light, and it has mass)

Maybe there isn’t dark matter and General Relativity is wrong? Another Experiment Maybe there isn’t dark matter and General Relativity is wrong? Look at the gravitational impact on light that travels through the Universe, through a galaxy, and towards us

Einstein Ring’s?

Another view

Einstein Ring The “near” galaxy The light from the “far” galaxy spread out into a ring Amount of lensing explained by extra mass of dark matter

Winner: General Relativity Many observations indicate that General Relativity correctly describes the motion of light, galaxies and stars in the Universe we live in  space and time are related Space can curve, stretch, change etc. Curved space-time will be very important in later chapters when we talk about the expansion of the Universe Dark matter is an important part of the evolution of our universe

1.3 billion years ago Sept 14th, 2015 Binary black hole merger Half the speed of light