General relativity is often explained in terms of curved spacetime.

See Quantum field theory in curved spacetime for a more complete discussion.

Such an attempt results in curved spacetime - Schwarzschild metric.

These fields are required to write the Dirac equation in curved spacetime.

During the late 1960s, Parker established a new area of physics - quantum field theory in curved spacetime.

Open curved spacetime effects can be applied in a field generation system to produce warp fields.

Hiley and a co-worker later extended the work further to curved spacetime.

It is possible to formulate the Dirac equation in curved spacetime.

Modelling this complex behaviour as a curved spacetime problem has yet to be done and is believed to be very difficult.

Where is viewed as the 'jacobian' in curved spacetime.

He suggested that at the Planck scale curved spacetime is not continuous, but discrete.

Light cone coordinates can also be generalized to curved spacetime in general relativity.

More recently, the approach has been further implemented to include an algebraic version of quantum field theory in curved spacetime.

Embedding Diagrams are used to illustrate curved spacetime in educational contexts.

Again, the second equation implies charge conservation (in curved spacetime):

It is a powerful generalisation of Hamiltonian theory that remains valid for curved spacetime.

The current Big Bang Model is a quantum field theory in a curved spacetime.

Rather than undergoing an acceleration, objects in free fall travel along straight lines (geodesics) on the curved spacetime.

Comments on the stress-energy tensor operator in curved spacetime Commun.

In general relativity, a geodesic generalizes the notion of a "straight line" to curved spacetime.

By the equivalence principle, it becomes simple to extend the notion of electromagnetism to curved spacetime.

There is in fact no way to define a global energy-momentum vector in a general curved spacetime.

In modern parlance, their paths are geodesics, straight world lines in curved spacetime.

In this way, Dirac's equation takes the following form in curved spacetime:

And in a gravitational interaction everything is moving in "straight lines" in this curved spacetime.