General Relativity Flashcards
Special relativity deals with motion in
inertial, non-accelerating frames of reference
General relativity deals with motion in
non-inertial, accelerating frames of reference
Equivalence Principle
That it is not possible to distinguish between the effects on an observer of a uniform gravitational field and of a constant acceleration
Spacetime
is a unified representation of three dimensions of space and one dimension of time
general relativity leads to the interpretation that
mass curves spacetime and that gravity arises from the curvature of spacetime
that light or a freely moving object follows
a geodesic (the path with the shortest distance between the two points) in spacetime
World lines
Check Jotter for diagram
a straight upwards line = stationary object
A diagonal straight line upwards = object travelling at a constant speed
A curved line upwards = an accelerating object
the diagonal line going through the origin is the velocity = c
That the escape velocity from the event horizon of a black hole is
equal to the speed of light
From the perspective of a distant observer, time appears to be
frozen at the event horizon of a black hole
The Schwarzschild radius of a black hole is the
distance from its centre (singularity) to its event horizon
rsᴄʜᴡᴀʀᴢsᴄʜɪʟᴅ = 2GM/c^2
rsᴄʜᴡᴀʀᴢsᴄʜɪʟᴅ = sᴄʜᴡᴀʀᴢsᴄʜɪʟᴅ radius (m) G = 6.67x10^-11 (m^3 kg-1 s-2) c = speed of light 3x10^8 M = mass (kg)
Definition of Black Holes
is a region in space where the pull of gravity is so great that NOTHING, not even light can escape its pull. the escape velocity is greater than the speed of light which is impossible to achieve.
Evidence for Spacetime warping
Gravitational time dilation
Gravitational Lensing
Precession of mercury’s orbit
Evidence of black holes
Emission of X-Rays
Gravitational Lensing
Binary x-ray systems
Clocks run at different speeds at different altitudes these are
Lower altitude = more affected by space-time curvature thus running slower
Higher altitude = less affected by space-time curvature thus running faster