Hořava-Lifshitz Scalar Field Cosmology: Classical and Quantum Viewpoints

<div>(a) The qualitative dynamical behavior of the scale factor (blue line) and scalar field (red line) in the flat universe. (b) Classical trajectory in the plane <span class="nowrap"><svg height="12.3916pt" id="M135" style="vertical-align:-3.42948pt" version="1.1" viewbox="-0.0498162 -8.96212 27.5454 12.3916" width="27.5454pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M483 97L471 123C436 91 401 65 392 65C388 65 384 74 390 106C414 239 444 378 457 429L455 433C444 433 429 436 416 439C392 444 368 448 344 448C281 448 204 415 152 376C71 315 23 205 23 103C23 21 57 -12 85 -12C114 -12 149 6 185 34C231 70 285 119 329 183H331L309 81C292 0 308 -12 326 -12C350 -12 421 24 483 97ZM374 387C370 363 356 291 345 261C315 193 181 50 139 50C124 50 110 71 110 118C110 224 153 331 218 379C238 394 271 402 301 402C329 402 359 394 374 387Z"></path></g><g transform="matrix(.013,0,0,-0.013,9.486,0)"><path d="M535 230V280H52V230H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,20.022,0)"><path d="M542 242C542 369 469 429 379 468C370 472 372 496 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-261C219 -261 280 -233 314 -208C383 -157 446 -79 470 81C491 223 529 388 546 430ZM456 386C452 357 433 283 420 252C402 216 366 174 325 129C288 88 239 56 212 56C192 56 182 77 182 120C182 165 199 242 226 292C256 348 281 377 311 389C327 395 353 402 375 402C408 402 436 394 456 386Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.072,3.132)"><path d="M680 0V33C616 41 601 50 570 134C503 312 441 487 376 665L340 655C272 481 206 313 137 141C101 50 87 43 22 33V0H247V33C173 42 163 51 185 116C222 228 282 380 333 528H336C384 391 444 222 490 93C505 51 495 42 430 33V0H680Z"></path></g><g transform="matrix(.013,0,0,-0.013,17.587,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.85,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g></svg>,</span> <span class="nowrap"><svg height="8.8423pt" id="M137" style="vertical-align:-0.2064009pt" 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Advances in High Energy Physics

fig1

Figure 1

Figure 1: Hořava-Lifshitz Scalar Field Cosmology: Classical and Quantum Viewpoints 