Please show step by step and in detail how to get geodesic equations and how to get non- zero Christoffel symbols from it 1. Write down the geodesic equations in the Schwarzschild geometry in Schwarzschild co-ordinates (units G = c = 1), as obtained from the dynamical Lagrangian L = m¶µvX¹X¹in lectures, and use them to identify the non-zero Christoffel symbols.

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Answered: 1. Write down the geodesic equations in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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On question 13, a-h I'm getting answers that I don't think I worked out correctly, can you show me how to work them out?
(a) If the abscissa and ordinates of two points P and Q are the roots ofthe equations x\power{2}+2ax-b\power{2}=0 and x\power{2}+2px-q\power{2}=0 respectively,then find the equation of the circle with PQ as diameter. (b)Find the equation of the circle which passes through (1, 0) and (0, 1) and has its radius as small as possible.
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Question 3 10 pts Use the information provided to answer Part A and Part B. Justify your answer using the CER method for part A as follows: Claim - The y - coordinate of the center of the circle is Evidence - Show work used to solve for/find the y coordinate. Reasoning - Use the work you showed in "Evidence" to justify your "Claim". Come up with your own CER response for part B. The equation x² + y² - 4x + 2y = b describes a circle. Part A Determine the y-coordinate of the center of the circle. Enter your answer in the box. Part B The radius of the circle is 7 units. What is the value of b in the equation? Enter your answer in the box. Edit View Insert Format Tools Table 12pt v Paragraph v BI U >
I need to find the distance of y in the diagram. I've been told that the radius of the circle is 100ft and that the angle theta is 30 degrees. I'm having a hard time setting up my equation. I'm trying to use the pythagorean theorem though I can't find a way to make all of variables in terms of a single variable. Since I know that in a 30-60-90 triangle the hypotuse is equal to 2t, the medium length leg is equal to t(radical 3) and the smallest leg is "t," I've tried setting up the following t=(100+x)/2 for the hypotnuse and t=((14+b)(radical 3))/3 for the meduim length leg. Though, I can't put this into the pythagorean theorem and solve it because I still have two unknown variables. Am I setting the problem up right?
A Moving to the next question prevents changes to this answer. Question 7 Find the length of the Conjugate axis if the length of the semi-transverse axis is 92 and the distance from the focus to the center is 198. Round your answers to two decimal places

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1. Write down the geodesic equations in the Schwarzschild geometry in Schwarzschild co- ordinates (units G = c = 1), as obtained from the dynamical Lagrangian L = m¶µvX¹X¹ in lectures, and use them to identify the non-zero Christoffel symbols.