What is Schwarzschild: Definition and 324 Discussions

Schwarzschild ([ˈʃvaʁtsʃɪlt]) is a German surname meaning "black sign" or "black shield".
Those bearing the name include:

Karl Schwarzschild (1873–1916), physicist and astronomer
Steven Schwarzschild (1924–1989), philosopher and rabbi
Henry Schwarzschild (1926–1996), civil rights activist
Martin Schwarzschild (1912–1997), astronomer
Shimon Schwarzschild (1925–), environmental activist
Luise Hercus (née Schwarzschild) (1926–), linguist

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  1. L

    Was the Schwarzschild geometry acceptable

    Today, as I guess, there are good indications that black-holes are a reality. But let us go back in time and pretend we are physicists in 1916 or a few years later. Schwarzschild lectures us about its static and spherical solution to the Einstein's equation. The consequence is striking: any...
  2. L

    Plane Schwarzschild geometry

    Dear all, I would like to know about a possible plane Schwarzschild geometry. This would be the analog of a uniform and infinite gravitational field, or a uniform acceleration. I would like to compare it with the solution of the uniformly accelerated motion in SR. Thanks,
  3. CarlB

    Schwarzschild Orbits in Cartesian coordinates

    My Java applet gravity simulator http://www.gaugegravity.com/testapplet/SweetGravity.html draws beautiful orbits, however the GR simulation is very badly broken as one can tell when comparing it with Newton at long distances. The source code is at...
  4. C

    Penrose Diagram for Schwarzschild

    Hi. I've got a quick question on Penrose diagrams for the Schwarzschild space-time that I'd appreciate some comments on. In standard (t,r,\theta,\phi) coordinates the Schwarzschild metric is ds^2 = -\left(1-\frac{2M}{r}\right)dt^2 + \left(1-\frac{2M}{r}\right)^{-1}dr^2 + r^2 d\Omega^2. The...
  5. Oxymoron

    Schwarzschild Solution using Cartan's Formalism

    I posted a thread in the Homework section on my attempt to find the Schwarzschild solution using Cartan's method instead of the orthodox Christoffel symbol method. Unfortunately I wasn't getting any help :redface: Then I was asked to move the thread to this section because I may get more...
  6. Oxymoron

    Schwarzschild Solution using Cartan's Equations

    Im having some trouble coming up with my six independent connection 1-forms. I have been given a metric: g = -H_0(r)^2dt\otimes dt + H_1(r)^2 dr\otimes dr + r^2 d\theta\otimes d\theta + r^2\sin^2\theta d\phi \otimes d\phi. I need to find H_0(r) and H_1(r), which are functions of r and...
  7. P

    Circular orbit in schwarzschild solution

    Hello everybody, I've been working on a problem about circular orbits in schwarschild spacetime. Recently a infrared flare has been detected from SgrA*m and the lightcurve during the flare has shown some quasiperiodic oscillations with a period of about 17 minutes. Some astronomers interpreted...
  8. P

    Geodesics in schwarzschild solution

    Hello everybody, I was studying the lecture notes about the schwarzschild solution for general relativity. In a particular example they calculate the equations of motion of a particle falling straight into a black hole. But there are some things about the calculation I really don't get...
  9. T

    Searching for Ricci Scalar in Schwarzschild Metric

    I searched the net for the Ricci scalar for the Schwarzschild metric but in vain. Can anyone tell me what's the Ricci scalar? Are there any standard list or tables that records down the properties of any metric for GR?
  10. D

    Schwarzschild Metric with multiple masses

    I know that it's possible to calculate the rate at which time flows when in the gravitational field of a single spherical mass. But how do you calculate the rate when there are two masses or more? How do they add together?
  11. T

    My Twin in a Schwarzschild Black Hole: What Would He See?

    If my twin were to be in a Schwarzschild black hole, and have passed the event horizon, I would see him as passing the horizon in infinite time. But, what would he see? How would I appear to him? Would my twin ever know that he is in a black hole? If my twin shines a torchlight towards me...
  12. A

    Schwarzschild geometry unstable orbit GR question

    Hey folks, working problems in Hartle's GR book and having trouble with this one. Chapter 9 discusses the simplest physically relavent curved geometry, that of Mr. Swarzschild ds^s = -(1 - \frac{2 G M}{r}) dt^2 + (1 - \frac{2 M}{r})^{-1} dr^2 +r^2(d\theta^2 + sin^2\theta d\phi^2) In this...
  13. S

    Quantum Geometry and Schwarzschild Singularity?

    In a recent paper Ashtekar and Bojowald:http://www.arxiv.org/abs/gr-qc/0509075 gave details (page's 25-26) of the backwards quantum evolution of a specific process of Space-time "leaping". Quote from page 25: " For our quantum Einstein’s equation (55), this coefficient is given by p|τ − 2δ|...
  14. L

    Schwarzschild metric assistance

    Hello, I've enjoyed reading these forums for a while now as they have lots of great insight! Today I decided to register so I can ask a question that's been bothering me for a few days now. (By the way, I'm moving onto my senior year as a physics major) So yea, to the question. I have been...
  15. R

    Ricci components in Schwarzschild solution

    Attached is a word document where I am setting out the Ricci tensor components to solve for the terms in the line element equation and get to the Schwarzschild solution. I am overlooking something as I have a sign off in the Ricci components in comparison to the many texts and literature I have...
  16. R

    Help Needed for Schwarzschild Solution Model - Romeo

    Consider a model in which we let a body fall (radially) into a star, being the simplest example of the schwarzschild solution, in which the angular parts of the solution may be ignored, so that we consider: ds^2 = -(1- GM/r) dt^2 + (1- GM/r)^{-1}dr^2. I have been told that this may be...
  17. J

    Closed Orbit Light Rays in Schwarzschild Metric - Help Needed

    Light rays in the schwarzschild metric satisfy the differential equation \frac {d^2u} {d\phi^2}+u=3Mu^2 u=1/r I want to show that there is closed orbits with constant radius and also calculate the radius of the orbits as a function of the Schwarzschild radius. Can anyone help...
  18. P

    Christoffel symbols in the Schwarzschild metric

    Well, I think I finally figured out how to get good values for the local values of the Christoffel symbols (aka local gravitational accelerations) in the Schwarzschild metric. Some of the results are moderately interesting, though there is one point that still makes me wonder a bit. If we...
  19. K

    Schwarzschild metric and BH mass

    What evidence is there that the schwarzschild metric is valid inside a black hole (as opposed to outside the Sun where evidence comes in the form of mercury's perihelion)? Also, if a black hole is made from photons, would it be massless and move at the speed of light?
  20. B

    Schwarzschild Solution: Find Rigorous Inside Body

    Where can I found the rigorous Schwarzschild solution INSIDE a body?
  21. W

    Hawking Radiation: What it is and How it Relates to the Schwarzschild Radius

    if schwarzschild radius is a pt. at which no information can come back after going in. Then what is Hawking radiation?
  22. F

    Schwarzschild Metric Question again

    The Schwarzschild Metric is only valid for R>2M, What are the units used here? Obviously R and M should have incompatible units...so how can any comparison of this type be made?
  23. H

    The speed of light in a Schwarzschild space-time

    I have seen a derivation of the dependence of the speed of light inside a Schwarzschild space-time: c depends on the radial position (r), but a light ray which moves radially has a different dependence on r as a light ray which moves tangentially. My question is whether such an effect may be...
  24. F

    Schwarzschild Metric Question

    i'm toying around with the schwarzschild metric using it to find distances from a star in sphereical coordinates. the metric is: g** = 1/(1-2M/r) 0 0 0 0 r^2 0 0 0 0 r^2sin(theta)^2 0 0 0 0 -(1-2M/r)...
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