"Gravitational Wave Rockets. Expanded Edition." provides an in-depth mathematical presentation on methods of approximating general relativistic scale gravitational waves and space-time warpage by modified Fourier Series. Accordingly, Keplerian scale gravitational wave equations are used as basic trigonometric series in modified Fourier series as methods to model space-time compression and expansion. Several specific wave-forms are included within this cutting edge digression. The author presents these approximations as methods to enable increased effective Lorentz factors in virtually light-speed travel with consideration of superluminal travel as combinations of both inertial or translational travel through space and space-time warpage. These proposed approximations can in principle enable enhanced light-speed impulse travel and at least ever-so-slightly superluminal travel. New to the Expanded Edition are contents including abstract expressions of the four classes of black hole metrics set equal to functional transforms of weighted Fourier series for approximating oscillating black holes. Also further included are general formulas for black hole mass and radius changes, use of black holes as cosmic time machines, and enhanced or suppressed Hawking Radiation emissions techniques.
"Gravitational Wave Rockets. Expanded Edition." provides an in-depth mathematical presentation on methods of approximating general relativistic scale gravitational waves and space-time warpage by modified Fourier Series. Accordingly, Keplerian scale gravitational wave equations are used as basic trigonometric series in modified Fourier series as methods to model space-time compression and expansion. Several specific wave-forms are included within this cutting edge digression. The author presents these approximations as methods to enable increased effective Lorentz factors in virtually light-speed travel with consideration of superluminal travel as combinations of both inertial or translational travel through space and space-time warpage. These proposed approximations can in principle enable enhanced light-speed impulse travel and at least ever-so-slightly superluminal travel. New to the Expanded Edition are contents including abstract expressions of the four classes of black hole metrics set equal to functional transforms of weighted Fourier series for approximating oscillating black holes. Also further included are general formulas for black hole mass and radius changes, use of black holes as cosmic time machines, and enhanced or suppressed Hawking Radiation emissions techniques.
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