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General relativity - Quiz
General relativity
  • 1. What is the result of combining Newtonian gravity's geometric description with special relativity?
A) A unified theory of electromagnetism
B) A heuristic derivation of general relativity
C) The total abandonment of Euclidean geometry
D) A disproof of Newton's second law
  • 2. According to Newton's second law, what is the net force equal to?
A) Position squared
B) Inertial mass multiplied by acceleration
C) Gravitational constant divided by distance
D) Velocity multiplied by time
  • 3. In classical mechanics, what are the paths of objects in free motion called?
A) Geodesics
B) Parabolic curves
C) Random paths
D) Hyperbolic trajectories
  • 4. What is another name for the universality of free fall?
A) The weak equivalence principle
B) The inertial law of motion
C) The strong gravitation principle
D) The Newton-Cartan theory
  • 5. The Eötvös experiment verified the universal equality of what two properties?
A) Space and time
B) Inertial and passive-gravitational mass
C) Force and energy
D) Velocity and acceleration
  • 6. What does Einstein's elevator experiment demonstrate?
A) The variation of mass in a vacuum
B) The indistinguishability between gravity and acceleration
C) The existence of a stationary frame
D) The curvature of Euclidean space
  • 7. What implies that there is no observable distinction between inertial motion and motion under gravity?
A) The rigidity of Euclidean space
B) The universality of free fall
C) The friction of external forces
D) The integration of Newtonian connections
  • 8. In the geometric construction of Newtonian gravity, what happens to space geometry?
A) It turns into four-dimensional spacetime
B) It remains ordinary Euclidean geometry
C) It becomes curved
D) It becomes non-existent
  • 9. Why is spacetime considered curved in the Newton-Cartan theory?
A) Mass is distributed uniformly
B) The gravitational potential is zero
C) The Newtonian connection is not integrable
D) Space itself is non-Euclidean
  • 10. In the geometric description of gravity, what is related to the derivative of the connection?
A) The speed of light
B) Electrostatic forces
C) Inertial mass
D) Tidal effects
  • 11. What is the Newton–Cartan theory?
A) A theory of quantum mechanics
B) A geometric formulation of Newtonian gravity
C) A relativistic theory of electromagnetism
D) The study of friction in classical mechanics
  • 12. In what year was Einstein's theory of general relativity published?
A) 1905
B) 1916
C) 1922
D) 1915
  • 13. Who summarized general relativity as: "Space-time tells matter how to move; matter tells space-time how to curve."
A) Henri Poincaré
B) John Archibald Wheeler
C) Albert Einstein
D) Isaac Newton
  • 14. The Einstein field equations are what type of mathematical equations?
A) First-order algebraic equations
B) Linear integral equations
C) Third-order ordinary differential equations
D) Second-order partial differential equations
  • 15. What is the primary obstacle to a unified theory of physics involving general relativity?
A) The existence of black holes
B) The curvature of spacetime
C) Lack of experimental data
D) Reconciliation with quantum physics
  • 16. Which collaboration directly observed gravitational waves?
A) The Hubble Institute
B) NASA
C) The Prussian Academy
D) LIGO
  • 17. Who found the first non-trivial exact solution to the Einstein field equations?
A) Alexander Friedmann
B) Georges Lemaître
C) Karl Schwarzschild
D) Marcel Grossmann
  • 18. What did Einstein later declare to be the "biggest blunder of his life"?
A) The Schwarzschild metric
B) The rejection of quantum mechanics
C) The theory of general relativity
D) The cosmological constant
  • 19. Which planet's perihelion advance provided early confirmation of general relativity?
A) Venus
B) Mars
C) Mercury
D) Jupiter
  • 20. Which mathematician pointed out the utility of Riemannian geometry to Einstein?
A) Karl Schwarzschild
B) Subrahmanyan Chandrasekhar
C) Marcel Grossmann
D) Henri Poincaré
  • 21. According to the text, what are black holes?
A) Regions of infinite density and zero time
B) The end-state for massive stars
C) The centers of expanding galaxies
D) Formations made of pure radiation
  • 22. In what year did Einstein begin his eight-year search for a relativistic theory of gravity?
A) 1913
B) 1919
C) 1905
D) 1907
  • 23. What is the Reissner–Nordström solution associated with?
A) Gravitational lensing
B) Electrically charged black holes
C) Rotating stellar masses
D) The expansion of the universe
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