Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational Waves and Inspiraling Compact Binaries in Alternative
  Theories of Gravity   This dissertation consists of four parts. In Part I, we briefly review
fundamental theories of gravity, performed experimental tests, and
gravitational waves. The framework and the methods that we use in our
calculations are discussed in Part II. This part includes reviewing the methods
of the Parametrized Post-Newtonian (PPN) framework, Direct Integration of
Relaxed Einstein Equations (DIRE), and Matched Filtering.
  In Part III, we calculate the explicit equations of motion for non-spinning
compact objects (neutron stars or black holes) to 2.5 post-Newtonian order, or
$O(v/c)^5$ beyond Newtonian gravity, in a general class of alternative theories
to general relativity known as scalar-tensor theories. For the conservative
part of the motion, we obtain the two-body Lagrangian and conserved energy and
momentum through second post-Newtonian order. We find the contributions to
gravitational radiation reaction to 1.5 post-Newtonian and 2.5 post-Newtonian
orders, the former corresponding to the effects of dipole gravitational
radiation. For binary black holes we show that the motion through 2.5
post-Newtonian order is observationally identical to that predicted by general
relativity.
  In Part IV, we construct a parametrized dispersion relation that can produce
a range of predictions of alternative theories of gravity for violations of
Lorentz invariance in gravitation, and investigate their impact on the
propagation of gravitational waves. We show how such corrections map to the
waveform observable by a gravitational-wave detector, and to the "parametrized
post-Einsteinian framework", proposed to model a range of deviations from
General Relativity. Given a gravitational-wave detection, the lack of evidence
for such corrections could then be used to place a constraint on Lorentz
violation.

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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an