Conformal Gravity and the Alcubierre Warp Drive Metric

Figure 1

Results for the two different shaping functions (left column ASF, right column HSF), computed with parameters 𝑣_𝑠=1, 𝑅=1, 𝜎=8, 𝑚=4, 𝛼_𝑔=1, 𝑡=0. (a) Alcubierre and Hartle shaping functions. (b) Expansion of the volume elements 𝜃. (c) Energy density 𝑇⁰⁰ computed with general relativity. (d) Energy density 𝑇⁰⁰ computed with conformal gravity. The WEC is verified in the case shown in the bottom right panel.

(a)

(b)

(c)

(d)